If f(x) = 49 + 3 x + 14 and g(x) = 2x2 + 59, find the composition (f ∘ g)(2).

Answer 1

*I am assuming 2x2 means 2 x squared.

You need to plug in the equation for g(x) into every x spot in the f(x) equation.

49+3(2x^2+59)+14

simplify by replacing x with 2

49+3[2(2)^2+59]+14

Do the math:

49+3[2(4)+59]+14

49+3(8+59)+14

49+3(67)+14

49+201+14

264