Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x

Answers

Answer 1

Answer:

h(x) = 1/2x

f(x) = 4x 4x/2=2x

So,h(x) = 1/2x
Answer 2

The  inverse of the function of f(x) = 4x is h(x) = x/4

Inverse of the function

Since f(x) = 4x, to obtain its inverse, we write f(x) = y

So, y = 4x.

We now divide both sides by 4. so, we have

y/4 = 4x/4

y/4 = x

Next, we replace x with y. So,

y/4 = x

x/4 = y

Next, we now replace y with f⁻¹(x) which is the inverse of f(x).

So, y = x/4

f⁻¹(x) = x/4

Since  f⁻¹(x) = h(x), replacing these, we have

h(x) = x/4

So, the  inverse of the function of f(x) = 4x is h(x) = x/4

Learn more about inverse of a function here:

https://brainly.com/question/10219387


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One Solution

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y = [tex]\frac{3}{2}[/tex]              Divide by 4.

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Answers

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Answers

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More Information:

Function :

A special relationship where each input has a single output.

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