Question

given that f(x)=2x+1 and g(x)=-5x+2 solve for f(g(x) when x=3
A.-91
B.-33
C.-25
D.35

Answer 1

so start by evaluating the inner function, in this case its g(x)=-5x+2
therefore g(3) = -5*3+2 = -15+2=-13
then plug that result into your outer function, f(x) = 2x+1
f(-13) = 2*-13+1 = -26+1=-25

Answer 2

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

Answer 3

given that f(x)=\[^{2}\]+3x+6 and g(x)=x-3 solve for f(g(x)) when x=1
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2
A.-1
B.0
C.3
4.4