Question

What is the inverse of the function H(x)=3/4x+12

Answer 1

Answer:

$h^{-1}$(x) = $\frac{4x-48}{3}$

Step-by-step explanation:

let y = h(x) and rearrange making x the subject, that is

y = $\frac{3}{4}$ x + 12 ( multiply through by 4 to clear the fraction )

4y = 3x + 48 ( subtract 48 from both sides )

4y - 48 = 3x ( divide both sides by 3 )

$\frac{4y-48}{3}$ = x

Change y back into terms of x, thus

$h^{-1}$ (x) = $\frac{4x-48}{3}$