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
