The inverse of this function is f(x) = [tex] \frac{3x + 15}{4} [/tex]
To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.
f(x) = [tex] \frac{-15 + 4x}{3} [/tex] ----> Switch the x and f(x)
x = [tex] \frac{-15 + 4f(x)}{3} [/tex] ----> Muliply both sides by 3
3x = -15 + 4f(x) ----> Add 15 to both sides
3x + 15 = 4f(x) ----> Divide both sides by 4.
f(x) = [tex] \frac{3x + 15}{4} [/tex]
