Question

F(x)=3x-2 ; g(x) = 3x+2 ; h(x): x² + 1 - Tentukan
gohof (x); fogoh (2)

Answer 1

gohof (x) = 27x²-36x+17

fogoh(2) = 49

Explanation:

gohof (x) = goh(f(x))

= goh(3x-2)

= g((3x-2)² + 1)

= g(9x²-12x+5)

= 3(9x²-12x+5) + 2

= 27x²-36x+17

fogoh(2) = fog(h(2))

= fog(2² + 1)

= f(g(5))

= f(3(5) + 2)

= f(17)

= 3(17) - 2

= 49