Question

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Answer 1

15. fog(-3) = f{g(-3)} = f(10)
fog(-3) = 3(10) + 1
fog(-3) = 31

16. f(2) = 2(2) - 1= 3
gof(2)= g(3)= 4

17. f(g(x)) = 2x + 3
2. g(x) -1 = 2x + 3
2. g(x) = 2x + 4
g(x) = x + 2

18. f(x) = (x - 2) / 2
x-2 = 2y
x = 2y + 2
f⁻¹(x) = 2x + 2

19. h(5) = 5+3 = 8
fogoh(5) = fog(8) = f(8+2)= f(10)= 10+1
fogoh(5)= 11

20.
fog(x) = f{g(x)} = f(2x-5) = 3(2x-5) + 1
fog(x) = 6x - 14
(fog)⁻¹(x) = (x + 14)/6