Question

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3

Answer 1

g(x) = x − 7

g(-3) = -3 − 7 ... replace x with -3

g(-3) = ??? ... tell me what you get

Answer 2

-10

Answer 3

\(\bf f(x) = 2x + 5 \qquad {\color{brown}{ g(x)}} = x - 7
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=2{\color{brown}{ g(x)}}+5\to 2({\color{brown}{ x-7}})+5
\\ \quad \\
x={\color{blue}{ 3}}
\\ \quad \\
f(\quad {\color{brown}{ g({\color{blue}{ 3}})}}\quad )=2{\color{brown}{ g({\color{blue}{ 3}})}}+5\to 2({\color{brown}{ {\color{blue}{ 3}}-7}})+5\)

Answer 4

now you plug that into f(x)

Answer 5

f(x) = 2x + 5

f(-10) = 2*(-10) + 5

f(-10) = ???

Answer 6

-15

Answer 7

correct

Answer 8

Thanks :D

Answer 9

no problem