Question

For f(x)=4x+1 and g(x) = x^2 - 5, find (f+g)(x).

Answer 1

(f + g)(x) = x² + 4x - 4

Explanation:

The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x) <----- Original statement

f(x) + g(x) <----- Rewrite

(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)

4x + x² - 4 <----- Add 1 and -5

x² + 4x - 4 <----- Rearrange the terms