Question

Diketahui:
f(x-5) = x pangkat 2 + 2
Tentukan: f(x)

mohon dibantu ya beserta cara pengerjaannya

Answer 1

F(x - 5) = x² + 2

kita cari dulu nilai (x - 5)²
(x - 5)² = x² - 10x + 25

f(x - 5) = x² - 10x + 10x + 25 - 25 + 2
f(x - 5) = (x² - 10x + 25) - 10x - 25 + 2
f(x - 5) = (x - 5)² - 10x + 50 - 50 - 25 + 2
f(x - 5) = (x - 5)² - (10x - 50) - 50 - 23
f(x - 5) = (x - 5)² - 10(x - 5) - 73
kemudian ganti (x - 5) dengan x
f(x) = x² - 10x - 73

Answer 2

F(x-5) = x² + 2
x-5 = y
x = y+ 5

f(y) = (y+5)² + 2
f(x) = (x+5)² + 2
f(x) = x² +10x + 27