Question

HELP!! For questions 9-12 evaluate each function for the given value

Answer 1

9). h² - 7h + 11

10). 2a² + 14a + 16

11). 3

12). 2h + 4x - 3

Explanation:

9). If j(x) = x² + x - 1

j(h - 4) = (h - 4)² +(h - 4) - 1

= h² - 8h + 16 + h - 4 - 1

= h² - 7h + 11

10). If f(x) = 2x² + 2x - 8

f(a + 3) = 2(a + 3)² + 2(a + 3) - 8

= 2(a² + 6a + 9) + 2a + 6 - 8

= 2a² + 12a + 18 + 2a - 2

= 2a² + 14a + 16

11). If f(x) = 3x - 1

`(f(x+h)-f(x))/(h)=(3(x+h)-1-(3x-1))/(h)`

`=(3x+3h-1-3x+1)/(h)`

= 3

12). If, f(t) = 2t² - 3t + 7

`(f(x+h)-f(x))/(h)=(2(x+h)^(2)-3(x+h)+7-(2x^2-3x+7))/(h)`

`=(2(x^2+h^2+2hx)-3x-3h+7-2x^2+3x-7)/(h)`

`=(2x^2+2h^2+4hx-3x-3h+7-2x^2+3x-7)/(h)`

`=(2h^2+4hx-3h)/(h)`

= 2h + 4x - 3