Question

Inverse of the function f(x)=4x

Answer 1

Answer:

$\large\boxed{f^{-1}(x)=\dfrac{1}{4}x}$

Step-by-step explanation:

$f(x)=4x\to y=4x\\\\\text{exchange x to y and vice versa:}\\\\x=4y\qquad\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\y=\dfrac{x}{4}=\dfrac{1}{4}x$

Answer 2

Answer:

f(x)^-1 = x/4

Step-by-step explanation:

f(x)=4x

inverse

x = 4y

rewrite

4y = x

y = x/4

Answer:

f(x)^-1 = x/4