Question

If f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)

Answer 1

Answer:  The correct option is (A) $x^2+2x-6.$

Step-by-step explanation:  We are given the following two functions :

$f(x)=2x+1,\\\\g(x)=x^2-7.$

We are to find the value of $(f+g)(x).$

We know that

for any two functions p(x) and q(x), we have

$(p+q)(x)=p(x)+q(x).$

Therefore, we get

$(f+g)(x)\\\\=f(x)+g(x)\\\\=(2x+1)+(x^2-7)\\\\=2x+1+x^2-7\\\\=x^2+2x-6.$

Thus, option (A) is CORRECT.

Answer 2

f(x)=2x+1 and g(x)=x^2-7
(f+g)(x) = 2x + 1 + x^2 - 7
(f+g)(x) = x^2 + 2x - 6

answer
x^2 + 2x - 6