Question

Tentukan rumus fungsi invers dari fungsi berikut
a. f(x)=1/2x + 2
b. f(x)=2xkuadrat - 4x - 6

Answer 1

A) y = (1/2)x + 2
y - 2 = (1/2)x
x = 2y - 4
f⁻¹ (x) = 2x - 4

b) y = 2x² - 4x - 6
       = 2(x² - 2x - 3)
       = 2{(x - 1)² - 4}
y/2 = (x - 1)² - 4
y/2 + 4 = (x - 1)²
√(y/2 + 4) = x - 1
x = 1 + √(y/2 + 4)
  = 1 + √(x/2 + 4)
f⁻¹(x) = 1 + √(x/2 + 4)