Question

Find an equation for the inverse of the following relation.

Answer 1

Answer:

$f^{-1}$(x) = $\frac{3x-15}{2}$

Step-by-step explanation:

Given

y = $\frac{2}{3}$ x + 5

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

$\frac{3y-15}{2}$ = x

Replace x by $f^{-1}$ (x) and y by x, thus

$f^{-1}$ (x) = $\frac{3x-15}{2}$