Answer to Question #176685 in Calculus for tasnu

Question

For the function below find the inverse.

a. 𝑓(𝑥) = (𝑥 − 2) 5 + 3

b. 𝑔(𝑥) = 4 𝑥+2

c. ℎ(𝑥) = 4 − √4𝑥 3 2

d. 𝑓(𝑥) = 4𝑥 3 + 2

Answer 1

a). $y=8x-10$ . We get the following inverse: $x=\frac{1}{8}(y+10)$

b). $y=4x+2$ . We obtain the inverse: $x=\frac{1}{4}(y-2)$

c). $y=4-6\sqrt{4}x$. The inverse is: $x=\frac{1}{6\sqrt{4}}(4-y)$

d). $y=12x+2$ . We get the inverse: $x=\frac{1}{12}(y-2)$