Question

Given that f(x) = 4x – 3 and g(x) 2x - 1 3 , solve for g(f(2)).

Answer 1

f(x) = 4x – 3

g(x) =(2x - 1 )/3

Replace x bt 2 and multiply each function by each other.

g(f(2))=[ (2(2) - 1 )/3 ] [4(2) – 3 ]

g(f(2))=[ (4 - 1 )/3 ] [8 – 3 ]

g(f(2))=[ 3/3 ] [5]

g(f(2))=1 (5)

g(f(2))=5