If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).

f(x) = x2 + 9x

g(x) = x + 9

To find f(g(x)), just replace the x in f(x) with g(x):

f(g(x)) = g(x)2 + 9g(x)

f(g(x)) = (x+9)2 + 9(x+9)

f(g(x)) = x2 + 18x + 81 + 9x + 81

f(g(x)) = x2 + 27x + 162

f(g(x)) = (x+9)(x+18)

Step-by-step explanation:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

30

step-by-step explanation:

idk

i hope i

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4