If f(x) = 5x what is f–1(x)

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 289 People

Answered by maham237 @ 22/12/2020

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:

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

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