Question

Inverse of the function f(x)=4x

Answer 1

`\large\boxed{f^(-1)(x)=(1)/(4)x}`

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=(x)/(4)=(1)/(4)x`

Answer 2

f(x)^-1 = x/4

Explanation:

f(x)=4x

inverse

x = 4y

rewrite

4y = x

y = x/4

Answer:

f(x)^-1 = x/4