If g(x) = 3x − 4, what is the value of g−1(g( a. 17/3 b. 35 c. x+4/3 d. 13

The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule 


Replace x with 13



The answer is choice D

The function g takes some input x from the *domain* and maps it to some value g(x) in the *range*. The function g^-1 takes some value g(x) from the *range* and maps it back to its associated value x in the *domain*. Essentially, when you feed an input through a function, and then feed that output through its inverse function, you get the original input back. So your answer here would be D. 13, since that was your original input.

It would be "B. If none of the input values are repeated, the relation is a function."