Question

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

Answer 1

find g(-3)
you are given g(x)=x-7

Answer 2

so replace x with -3 to get g(-3)

Answer 3

g(-3) = -3 - 7 = -10

Answer 4

yes so now plug that number into f(x)

Answer 5

f(-10) = 2(-10) + 5 = -20 + 5 = -15

Answer 6

Thanks

Answer 7

np
\[f(g(-3))=f(-3-7)=f(-10)=2(-10)+5=-20+5=-15 \]

Answer 8

Do you happen to know what solving this type of question is called?