Question

If f(x)=2x^2−3x+1 and g(x)=x+5, what is f(g(x))?

Answer 1

If
`f(x)=2x^(2)-3x+1,` then


`f(g(x))=2[g(x)]^(2)-3g(x)+1\\ \\ f(g(x))=2(x+5)^(2)-3(x+5)+1\\ \\ f(g(x))=2(x^(2)+10x+25)-3(x+5)+1\\ \\ f(g(x))=2x^(2)+20x+50-3x-15+1\\ \\ f(g(x))=2x^(2)+20x-3x+50-15+1\\ \\ \boxed{\begin{array}{c}f(g(x))=2x^(2)+17x+36 \end{array}}`