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Gennadij [26K]
3 years ago
7

Which represents the inverse of the function f(x) = 4x?

Mathematics
2 answers:
bekas [8.4K]3 years ago
6 0
Let  y = 4x

x = 1/4 y

f(-1)x = 1/4 x  = h(x)

Its D
natali 33 [55]3 years ago
4 0

Solution:

The inverse of f(x) is h(x)=1/4 x. D is correct.

Explanation:

We have been given the function  f(x) = 4x. In order to find the inverse of the function, we do below steps.

Step 1:

Let the given function f(x) as y

y=4x

Step 2:

Switch x and y

x=4y

Step 3:

Now, we solve for y

x=4y\\\text{Divide both sides by 4}\\\\\frac{x}{4} =y

This is the inverse of the given function. Hence, we have

f^{-1}(x)=h(x)=x/4=\frac{1}{4}x



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