Question

Given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

Answer 1

Answer: $f(g(x))=2x^2+16x+29$

Step-by-step explanation:

$f(x)=2x^2-3\\g(x)=x+4$

f of g of x means "function f, replace x by the value of g of x"

$f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29$