Mathematics College

Consider the function.
f(x)=2 1/2 - 3 1/3
What is the x-intercept of f-1(x)?

o (-3 1/3,0)
o (-3/10,0)
o (3/4,0)
o (2 1/2,0)

Consider The Function.f(x)=2 1/2 - 3 1/3What Is The X-intercept Of F-1(x)?o (-3 1/3,0)o (-3/10,0)o (3/4,0)o

Answers

Answer 1

Answer:

Option 4

Step-by-step explanation:

Given function is,

[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Step 2,

Interchange the variables 'x' and 'y',

[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]

Step 3,

Solve the equation for the value of y,

[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]

[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]

[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]

[tex]-3x+\frac{15}{2}=10y[/tex]

[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]

[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]

Step 4,

Convert the equation into inverse function,

[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]

For x-intercepts,

Substitute y = 0,

[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]

[tex]\frac{3}{10}x=\frac{3}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2\frac{1}{2}[/tex]

Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].

Option 4 will be the answer.

Related Questions

What is the equation for the axis of symmetry of your quadratic ?
Y=x^2-4x

Answers

Answer:

[tex]y = {x}^{2} - 4x \\ y = x(x - 4)[/tex]

Consider the function f(x)=x−5ln(x), 1/5≤x≤10.
The absolute maximum value is =

and this occurs at x equals =

The absolute minimum value is =

and this occurs at x equals =

Answers

f(x) = x - 5 ln(x)

Get the derivative:

f'(x) = 1 - 5/x

Find the critical points:

• f'(x) = 1 - 5/x = 0   ->   5/x = 1   ->   x = 5

• f'(x) is undefined for x = 0, but that's outside the domain of f(x)

Get the second derivative:

f''(x) = 5/x ^2

Check the sign of the second derivative at the critical point x = 5:

f'' (5) = 5/5^2 = 5/25 = 1/5 > 0

Since the second derivative is positive at this point, this means x = 5 is a local minimum.

Check the value of f(x) at the critical point as well as the endpoints of the given domain:

f (5) = 5 - 5 ln(5) ≈ -3.407

f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809

f (10) = 10 - 5 ln(10) ≈ -1.513

So we have

• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5

• absolute minimum = 5 - 5 ln(5) at x = 5

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Given the function f(x)=x−5ln(x),

We are to find the absolute minimum and maximum value of the function

At the turning point f'(x) = x - 5ln(x)

f'(x) = 1 - 5/x

0 = 1 - 5/x

-5/x = -1

-x = -5

x = 5

Find the second derivative of the function;

f''(x) = -5/x²

Substitute the value of x = 5 into the second derivative function to have:

f''(5) = -5/5² = 1/5

Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Learn more here: https://brainly.com/question/19921479

Is (–5, 2) a solution to the equation y = x?

Answers

No because -5 does not
Equal 2

Evaluate the following, using the distributive property. (i) – 39 × 99

(ii) (– 85) × 43 + 43 × ( – 15)

(iii) 53 × ( – 9) – ( – 109) × 53

(iv) 68 × (–17) + ( –68) × 3

(v) 26 x (-48) + (-48) x 36

(vi) (-41) x 102

(vii)(-57) x (-19) + 5

Answers

Answer:

(i) - 33 × 99

= - 3267

(iii) 53 × ( - 9) - ( - 109) × 53

= - 477 + 109 × 53

= - 477 + 5777

= + 5300

(ii) (-85) × 43 + 43 × ( - 15)

= - 3655 + 43 - 645

= - 3655 - 645 + 43

= - 4300 + 43

= - 4257

what would be the value of x please help

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The segment marked 6x is the midline of the triangle, so is half the length of the base.

  6x = 1/2(84)

  x = 42/6 = 7

The value of x is 7.

A box is full of thousands of numbered tickets. We want to estimate the unknown average of all the numbers in the box. To do this, we draw 250 tickets at random. The numbers on these 250 tickets average out to 118 with a standard deviation of 53. Round your values to three decimal places. We estimate the average of all the tickets in the box to be . Attach a give-or-take value to this estimate. (That is, estimate the standard error.) For an 85% confidence interval, about how many standard errors should be added to and subtracted from the estimate

Answers

When I try to type the right answer it says incorrect answer

WILL







GIVE

N N N N N


BRAINLIST

Answers

Answer:

31338is the correct answer

Answer:

THE LAST ONE

Step-by-step explanation:

13,158-18,180=5022

Subtract BECAUSE WE NEED THE DiEFFRENT

A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches a size of 750 after 6 hours. Find the value of k.
NO LINKS!!!!!!

Answers

9514 1404 393

Answer:

  k ≈ 0.03719

Step-by-step explanation:

Fill in the given numbers and solve for k.

  750 = 600e^(6k)

  1.25 = e^(6k)

  ln(1.25) = 6k . . . . . take the natural log

  k = ln(1.25)/6 . . . . . divide by 6

  k ≈ 0.03719

In her first basketball game, Charlotte scored 21 points. In the next game, she scored 15
points. By what percent did her score decrease?
ASAP

Answers

Answer:

28.57%

Step-by-step explanation:

Find the percent decrease by dividing the change in the number of points by the original number of points, then multiplying it by 100:

((21 - 15) / 21) x 100

(6 / 21) x 100

= 28.57

So, her score decreased by approximately 28.57%

Start at the origin, shift up 3 units

Answers

The answer would be (0, 3) or 0 x-axis and 3 y-axis. The origin is the middle of the graph or the 0 so if you go up it will be (0, 3) and since the x-axis goes first in a perpendicular line

Write 0.0000000000048 as a multiple of a power of 10.

Answers

Answer:

Step-by-step explanation:

6.492506e-114

Answer:

4.8 x 10^-12

hope this helps

have a good day :)

Step-by-step explanation:

Math each value on the left with the number on the right that includes that value.

Answers

B is the right answer

Answer:

Answer given below

Step-by-step explanation:

5 thousands - 45,809

8 hundreds - 958,823

3 millions - 3,072,700

2 ten thousands - 7,426,580

7 hundred thousands - 752,671

Calculate the amount of interest on $4,000.00 for 1 year, compounding daily at 4.5 % APR. From the Monthly Interest Table use $1.046025 in interest for each $1.00 invested.

Answers

Answer:

Sierra Madre Oceandental range

Order each expression from smallest (top) to largest (bottom).
|-10
|--2
III
15
10
III III
2

Answers

the answer goes in this order
-10
-2
1
|-2|
|-10|
15

help!! very easy math! please answer correctly. <3

Answers

Answer:

y=1x+(-8)

Step-by-step explanation:

Why is 5992 divisible by 6​

Answers

Answer:

Because its 9987 * 6

Step-by-step explanation:

Well, you could use simple math.

6:

1,6

2,3

I'm sorry if this is what you weren't looking for.

Problem ID: PRAFJA9
Look at this graph.

What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)

Answers

Answer:

10/4

Step-by-step explanation:

The answer is 5/2 the rise is 5 the run is 2

PLEASE HELP
PLEASEEEEEE

Answers

7g 3b 7grade jzjdishsgsudhfhxhxhx

compute the value of the discriminant and give the number of real solutions of the quadratic equation​​

Answers

mag aral ng mabuti para may alm

Step-by-step explanation:

yan ang answer

Which number line correctly shows the location of -1 1/2?

Answers

Hopes this helps:

Answer: A.

somone pls help me

Answers

Answer:

14800 sq yd

Step-by-step explanation:

145+225=370

370÷2=185

185x80=14,800

the product of a number and 5 is increased by 12 the result is 32 find the number​

Answers

Answer:

4

Step-by-step explanation:

First, to get just the multiplication equation, we need to do,

32-12 = 20

20/5 = 4

The number is 4.

Now let's check our work.

4x5+12=32

The answer is 4.

The required number is 4.

Let the number be x.

Given, the product of x and 5 increased by 12 gives 32.

So in equation form,

[tex]5x+12=32\\[/tex]

Subtracting 12 from both the sides,

[tex]5x+12-12=32-12[/tex]

[tex]5x=20\\\\[/tex]

[tex]x=\dfrac{20}{5}[/tex]

Or, [tex]x=4[/tex]

Hence the required number is 4.

For more details follow the link:

https://brainly.com/question/10439298

Amelia has a 1-6 number cube (dice). She rolls the cube twice. What is the probability that she rolls two even
numbers in a row?

Answers

Answer:

6/9

Step-by-step explanation:

2/6 x 2 = 0.6... and the 6 keeps repeating. There is one repeating number, so your answer is 6/9.

Which number line shows one way to find the value of 2 - 6?

Answers

B is the answer. All the other ones don’t work, and I promise you it’s the answer. Good luck!
B because all the other answer don’t add up at all lol

Here is the next one jaded :))

Answers

Answer:

x = 5.56

Step-by-step explanation:

Sin(17) = [tex]\frac{x}{19}[/tex]

=> Isolate the "x"

Sin(17) * 19 = x

5.56 = x

Hope this helps!

Translate the word phrase into a math expression.
15 fewer than the product of 4 and a number.

ples look at pic to know the options :)

Answers

Answer:

15 - 4x

Hope this helps :)

What is the value of the expression below when x=3

Answers

Answer:

There is no image

Step-by-step explanation:

Try isolating the variable in the equation

simplify 0.6 kg : 3/4 kg : 400 g​

Answers

Answer:

0.6 kg x .4 kg /.75 = 0.32 kg

Determine the Surface area of the box (Show work)

Answers

Answer:

Step-by-step explanation:

Ok. If this is surface area we will have to multiply all the areas together. So, 12 x 8 x 2 = 192. Your answer will be 192.

What is the slope of the following graph?

Answers

I believe the slope is -2/3
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