Question

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

Answer 1

\(\bf f(x) = -4x + 7 \qquad {\color{brown}{ g(x)}} = 10x - 6
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=-4{\color{brown}{ g(x)}} + 7\implies f(\quad {\color{brown}{ g(x)}}\quad )=-4{\color{brown}{ (10x-6)}} + 7\)

Answer 2

f(g(x)), if f(x), but replace x with the formula for g(x)

g(x) = 10x-6
f(10x-6) = -4(10x-6)+7