Question

Diketahui f⁻¹ (x) = x² + 3, g(x) = 3x + 1 dan h(x) = x² - 7. tentukan (f⁻¹ o h⁻¹ o g⁻¹) (x)

Answer 1

= x² + 3
g(x) = 3x + 1
misal g(x) = y
y = 3x + 1
3x = y - 1
x = (y - 1)
= (x - 1)

h(x) = x² - 7
y = x² - 7
x² = y + 7
x =
=

(f⁻¹ o h⁻¹ o g⁻¹) (x)  = f⁻¹ o (h⁻¹ o g⁻¹) (x)

=> f⁻¹ o
=> + 3

=>

=> - + 10

=> +