Question

Tolong penting banget..
diketahui: f(x) = 3x+6 , h(x)=2x-7 , g(x)2x*-1...(buat g(x) *=2 kuadrat)..
tentukan:
1. ((f*g)*h)(x)
2.(f*g)(x)
3.(g*h)(x)
4.f(3)
5.g(-3)
6.h(-5)
7.(f*h)(-1)
8.(h*g)(2)...
tolong dibantu.. :')

Answer 1

F(x) = 3x + 6
g(x) = 2x² - 1
h(x) = 2x - 7

1. ((f o g) o h)(x) = (f o g)(2x - 7)
= f(2(2x - 7)² - 1)
= 3(2(2x - 7)² - 1) + 6
= 3(2(4x² - 28x + 49) - 1) + 6
= 24x² - 168x + 294 + 3
= 24x² - 168x + 297

2. (f o g)(x) = f(2x² - 1)
= 3(2x² - 1) + 6
= 6x² + 3

3. (g o h)(x) = g(2x - 7)
= 2(2x - 7)² - 1
= 2(4x² - 28x + 49) - 1
= 8x² - 56x + 97

4. f(3) = 3(3) + 6
= 15

5. g(-3) = 2(-3)² - 1
= 17

6. h(-5) = 2(-5) - 7
= - 17

7. (f o h)(-1) = f(-9)
= 3(-9) + 6
= - 21

8. (h o g)(2) = h(7)
= 2(7) - 7
= 7