Question

Please help me. My other question I need help on. 2- g(x)=x^2-4 is what is g(-3) 3- F(x)=3x+7 what is f(2) please help me please please

Answer 1

`g(-3) = 5`

`f(2) = 13`

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

Explanation:

Solving (a):

`g(x) = x^2 - 4`

Required

Determine g(-3)

`g(x) = x^2 - 4`

Substitute -3 for x

`g(-3) = (-3)^2 - 4`

`g(-3) = 9- 4`

`g(-3) = 5`

Solving (b):

`f(x) = 3x + 7`

Required

Determine f(2)

`f(x) = 3x + 7`

Substitute 2 for x

`f(2) = 3*2 + 7`

`f(2) = 6 + 7`

`f(2) = 13`

Solving (c):

`f(x) = 2x + 3`

`g(x) = x^2 - 4`

Required

`(f + g)(x)`

In functions:

`(f + g)(x) = f(x) + g(x)`

So, we have:

`(f + g)(x) = 2x + 3 + x^2 - 4`

Collect Like Terms

`(f + g)(x) = x^2 +2x- 4+3`

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