Question

Fungsi f:R –>R dan g:R –>R ditentukan oleh f(x)=½x + 7 dan g(x) = 1/6x - 5 tentukan (g0f)–¹

Answer 1

Verified answer

Jawab

f(x)= 1/2 x+ 7
2y = x + 14
x= 2y  -14
f⁻¹ (x) = 2x-14

g(x)= 1/6x - 5
6y = x - 30
x = 6y + 30
g⁻(x)= 6x + 30

gof)⁻¹ (x)=  f⁻¹ { g⁻¹(x)}
= f⁻¹ {6x +30)
= 2(6x +30) + 14
= 12x + 60 + 14
= 12x + 74