Question

What represents the inverse of the function f(x)=4x

Answer 1

Answer:

$\frac{x}{4}$

Step-by-step explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x= $f^{-1} (y)$

Therefore,

y = 4x

x = $\frac{y}{4}$

as x= $f^{-1} (y)$

So,

$f^{-1} (y) = \frac{y}{4}$

replacing y by x in the above expression

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

So our inverse function is  $\frac{x}{4}$