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If f(x) = 5x, what is f¹(x)?

If f(x) = 5x, what is f¹(x)?-example-1

2 Answers

3 votes

Answer:

C

Explanation:

For any function x, inverse will = 1/x. so the answer is C

User Alexandru DuDu
by
8.3k points
6 votes

Answer:

C.
f^(-1)(x) = (1)/(5) x

Explanation:

The question is asking to find
f^(-1)(x) of f(x)=5x, which is the same as finding the inverse of the function.

To find the inverse of a function, we first need to replace f(x) with y.

The function will therefore be:

y = 5x

Now, we solve the equation for x.

So divide both sides by 5.

y = 5x

÷5 ÷5

_________


(y)/(5) = x

Now, we replace x with y and y with x.


(x)/(5) = y

Finally, we replace y with
f^(-1)(x).


(x)/(5) = f^(-1)(x)

We can re-write this though, to make it easier to read.

We can write
f^(-1)(x) first, and rewrite
(x)/(5) as
(1)/(5)x.


f^(-1)(x) = (1)/(5) x

Therefore, the answer is C.

User Vishal Akkalkote
by
8.1k points
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