If f(x) = 5x, what is f–1(x)?

1 answer:

7 0

We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5

You might be interested in

PLZZZZZZZ I need help i will mark brainlest

bekas [8.4K]

ANSWER

My answer is in the photo above

7 0

2 years ago

What is the length of BC?

MrRissso [65]

If Two Angles in a Triangle are Equal, Then Sides Corresponding to those Angles are also Equal

From the Figure, We can Notice that ∠C = ∠B

⇒ Length of AC = Length of AB

⇒ 2x - 24 = x - 2

⇒ x = 24 - 2

⇒ x = 22

3 0

3 years ago

Margie is standing on a bridge looking at the river below. She throws a rock over the bridge with an initial

Marina CMI [18]

<h2>Explanation:</h2><h2></h2>

Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:

$h(t) = -16t^2+60t+72$

To calculate how long will it take for the rock to reach the surface of the water, we need to set $h(t)=0$ . So:

$0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95$

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>

6 0

3 years ago

What is point-slope form? When can you use point-slope form? How is it useful?

arsen [322]

After solving an equation in Point Slope Form, you're directly given the slope intercept form which is y=mx +b

5 0

3 years ago

Drag the tiles to the boxes to form correct pairs.

Rufina [12.5K]

product - result of multiplication

quotient - result of division

sum - result of addition

difference - result of subtraction

6 0

2 years ago

Read 2 more answers