Question

Use the functions to answer the question.
f(x) = 2x + 1; g(x) = x2



Which is the value of (f ◦ g)(–5)?

Answer 1

Composition function rule (f○g)(x) = f(g(x))
Given the separate functions: $f(x)=2x+1$ and $g(x)=x^2$

$(f\circ g)(-5)\rightarrow\text{ Composition Function Rule}\rightarrow f(g(-5))=2((5)^2)+1$
$\rightarrow2(25)+1=50+1=51$