and detemine whether the pair of functions f and g are inver

)and detemine whether the pair of functions f and g are inverses of each other ng(x))- (Simplity your Simplity your answer. Use integers or fractions for any numbers in the O fand g are not inverses of each other answer. Use integers or fractions for any numbers in the expression) expression.) O fand g are inverses of each other. 0. For the function x) 2x-3 determin e whether f(x) is one-to-one. If so, Sind a formula for the inverse, give the domain and the range for f , and then graph both functions on the same axes Is f(x) a one-to-one function? O Yes The inverse function is f-1= Choose the correct domain below. Choose the correct range below OA. (0,-00) Choose the correct graph for fand f below O A. OB. C. OD. 10 10 10 -10 10

Solution

f(x)= 8x-4 , g(x)= (x+4)/8

f(g(x))= f((x+4)/8)= 8((x+4)/8)-4 =x+4-4=x

g(f(x))= g(8x-4)= (8x-4+4)/8=x

f(g(x))=g(f(x))

Therefore the functions are inverse.