Consider the function .
g(x)=1/3x+2
(a) Find and simplify a rule for the inverse. Name the inverse g –1. Show your work.

(b) Graph functions g and g –1 on the same coordinate plane. Explain how the graphs verify that the rule for g –1 is correct. Then explain how the graph verifies that g –1 is a function.

(c) Use function composition to show that the rule for g –1 is correct.

Question

Consider the function  .
   g(x)=1/3x+2
(a)	Find and simplify a rule for the inverse. Name the inverse g –1. Show your work.

(b)	Graph functions g and g –1 on the same coordinate plane. Explain how the graphs verify that the rule for g –1 is correct. Then explain how the graph verifies that g –1 is a function.

(c)	Use function composition to show that the rule for g –1 is correct.