algebra functions

Question

f(x)=x²−4 and g(x)=x+2

Find (f⋅g)(x). Simplify your answer

Answer 1

(f⋅g)(x) means apply the g function to x , then apply the f function to the result; it can be read "f after g of x", and it could also be written f(g(x)) .

Here f(x) = x²−4: take the argument (the value in parentheses), square it, and subtract 4.

And. g(x )= x+2: just add 2 to the argument. So

(f⋅g)(x) = f(g(x)) = f(x+2) = (x+2)²-4 = (x²+4x+4)-4 = x²+4x .