Question

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

Answer 1

To find f(g(x)) we need to:

1. Put the equation of g(x) instead of x at f(x).
2. Simplify.

f(x) = 4x - 3 ∧ g(x) = 2x + 1

Therefore:

`f\big(g(x)\big)=4(2x+1)- 3=8x+4-3=8x+1\\\\\\\large\boxed{\bold{f\big(g(x)\big)=8x+1}}`