Question

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

A. x^2=2x-6
B. 2x^2-15
C. x^2+2x+8
D. 2x^3-6

Answer 1

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

Answer 2

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.