1 Consider the functions fx 5x5 and gx x 5 a Find fgx b F

1 Consider the functions f(x) = 5x-5 and g(x) = (x + 5). (a) Find f(g(x) (b) Find g(f(x)) (c) Determine whether the functions fand g are inverses of each other

Solution

f(x)=5x-5, g(x)= 1/5(x+5)

a. f(g(x))= f(1/5(x+5))= 5(1/5(x+5)-5= x+5-5=x

b. g(f(x))= g(5x-5)= 1/5(5x-5+5)=1/5(5x)=x

c. Since f(g(x))=g(f(x))=x. Therefore the given functions are inverse of each other .