Question

If f(x) = 5x, what is f–1(x)?

Answer 1

For this case we have the following function:

$f (x) = 5x$

We want to find the inverse of the function.

The first thing we should do is rewrite the function:

$y = 5x$

From here, we clear the value of x.

We have then:

$x =\frac{y}{5}$

Then, returning the variable changes, we have that the inverse function is:

$f ^ {-1} (x) =\frac{x}{5}$

Answer:

The inverse function of f (x) is:

$f ^ {-1} (x) =\frac{x}{5}$

Answer 2

If f(x) = 5x,f–1(x) would be 1/5x

so C is the answer.