Question

Given: f(x) = -x2 – 3x + 2 and g(x) = x2 + 4 10. Find -3f(x) 11. Find - g(x) - 5 12. Find (f + g)(x) 13. Find f(x) - g(x) 14. Find f (4x) 15. Find g(-x) - 5

Answer 1

Problem

Solution

10) -3 f(x)

`-3(-x^2-3x+2)=3x^2+9x-6`

11) -g(x)-5

`-x^2-4-5=-x^2-9`

12) (f+g)(x)

`-x^2-3x+2+x^2+4=-3x+6`

13) f(x) -g(x)

`-x^2-3x+2-x^2-4=-2x^2-3x-2`

14) f(4x)

`f(4x)=-(4x)^2-3(4x)+2=-16x^2-12x+2`

15) g(-x) -5

`(-x)^2+4-5=x^2+4-5=x^2-1`