Answer: [tex]f(g(x))=2x^2+16x+29[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-3\\g(x)=x+4[/tex]
f of g of x means "function f, replace x by the value of g of x"
[tex]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[/tex]
