Question

1. (01.02)

Given that f(x) = 4x – 3 and g(x)

2x-1, solve for g(f(2)). (5 points)

Answer 1

9

Explanation:

The first thing we shall be doing here is substituting f(x) into g(x).

Mathematically, that would be written as g(f(x))

= 2(4x-3)-1 = 8x -6 -1 = 8x - 7

Now we shall find g(f(2)) by substituting 2 into the expression above.

Mathematically, that would be 8(2) -7 = 16-7 = 9