Question

If f(x)=4x-3 and g(x)=2x+1 what is g(f(x))?

Answer 1

Given:
f(x)=4x-3 and g(x)=2x+1

Find: g(f(x))

To find g(f(x)), plug the function f(x) into the function g(x).

g(f(x))=4(2x+1)-3

g(f(x))=8x+4-3, distributed the value 4

g(f(x))=8x+1, combined like terms

Thus, g(f(x))=8x+1

Answer 2

x = 2

Explanation:

f(x)=4x-3 g(x)=2x+1

4x -3 = 2x + 1

2x -3 = 1

2x = 4

x = 2