Question

Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

Answer 1

\(\bf f(x) = 2x + 1 \qquad {\color{brown}{ g(x)}} = −5x + 2
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=2{\color{brown}{ g(x)}} + 1\implies f(\quad {\color{brown}{ g(x)}}\quad )=2{\color{brown}{ (−5x + 2)}} + 1
\\ \quad \\
x={\color{blue}{ 3}}\qquad f(\quad {\color{brown}{ g({\color{blue}{ 3}})}}\quad )=2{\color{brown}{ (−5({\color{blue}{ 3}}) + 2)}} + 1\)