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Sagot :
Step-by-step explanation:
See the solution for each part
1)
- f(-2) = - 3(-2) - 6 = 6 - 6 = 0
2)
- g(3) = 3² + 4 = 9 + 4 = 13
3)
- f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 18
4)
- f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 45
5)
- x = - 3f⁻¹(x) - 6
- 3f⁻¹(x) = - x - 6
- 3f⁻¹(x) = -(x + 6)
- f⁻¹(x) = - (x + 6)/3
- f(x)=-3x-6
- g(x)=x²+4
Now
- f(-2)=-3(-2)-6=6-6=0
- g(3)=3²+4=9+4=13
- f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18
- f(g(3))=-3(3)^2-18=-27-18=-45
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