Question

For f(x) = 4x +1 and g(x) = x2 - 5, find (f + g)(x)

Answer 1

`\large\boxed{(f+g)(x)=x^2+4x-4}`

Explanation:

`(f+g)(x)=f(x)+g(x)\\\\f(x)=4x+1,\ g(x)=x^2-5\\\\\text{substitute:}\\\\(f+g)(x)=(4x+1)+(x^2-5)=4x+1+x^2-5=x^2+4x-4`