Question

Tolong dong
jika g(x) = x^2-2x dan (gof) (x)= x^2-10x+24 fungsi f(x) adalah...
a. x-6
b. 4-x
c. 6-x
d. x-6
e. x+6

Answer 1

Verified answer

Gof(x) = g(f(x))
{f(x)}² - 2f(x) = x² - 10x + 24
{f(x) - 1}² - 1 = x² - 10x + 24
{f(x) - 1}² = x² - 10x + 24 + 1
{f(x) - 1}² = x² - 10x + 25
{f(x) - 1}² = (x - 5)²
f(x) - 1 = x - 5
f(x) = x - 5 + 1
f(x) = x - 4