Question

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

Answer 1

The required answer is:
`-x^2+2x+8`

Explanation:

We have been given the two function:

`f(x)=2x+1`

And
`g(x)=x^2-7`

We have to find (f-g)(x):

`(f-g)(x)=f(x)-g(x)`

`(2x+1)-(x^2-7)`

`2x+1-x^2+7`

`-x^2+2x+8`

We will get the quadratic expression after the prescribed operation been applied.

Hence, the required answer is:
`-x^2+2x+8`

Answer 2

I hope this helps you



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



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


(f-g)(x)= -x^2+2x+8