Question

Questionof 151) If function is defined by f(x) = x2 - 2x + 6 and function g is defined by g(x) = 3x - 4, what is f(g(3)) ?5OB92123

Answer 1

`\begin{gathered} f(x)=x^2-2x+6 \\ g(x)=3x-4 \\ f(g(3))=\text{?} \\ g(3)=3(3)-4=9-4=5 \\ g(3)=5 \\ \text{Therefore,} \\ f(g(3))=f(5)=x^2-2x+6=5^2-2(5)+6=25-10+6=21 \end{gathered}`