Question

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx

Answer 1

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

Explanation:

`f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\(4y)/(4)=(x)/(4)\\\\y=(1)/(4)x`

Answer 2

Answer: D. h[x]=1/4x

Explanation:

f(x) = 4x or y = 4x

Its inverse is obtained by switching the variables and solving for y.

x = 4y

y = (1/4)x