Question

If f(x)=x^2-1,g(x)=x-2 find a, if gof(a)=1

Answer 1

Heya!!

F(x) = x² - 1 And g(x) = x - 2

Put x = a we have

F(a) = a² - 1 And g(a) = a - 2

gof(a) = 1 ( Given )

g(f(a)) = 1 .... gof(x) = g(f(x))

g(a² - 1 ) = 1

a² - 1 - 2 = 1 ... By using g(x) = x - 2

a² = 4

a = ±2