- Messages
- 193
- Reaction score
- 72
- Points
- 38
F(x) = 2x+1
f(g)= x^2 - 2
find an expression for
f-1 g(x)
so the inverse of f is y=2x+1 -> (y-1)/2 =x -> y= (x-1)/2
then you punch in the value of g ((x^2 - 2)-1)/2=y
(x^2 - 3)/2 = f-1g(x)
but the mark scheme says F-1(x)= 1/(2(x-1) and f-1g(x) = 1/(2(x^2 - 3))
How?
f(g)= x^2 - 2
find an expression for
f-1 g(x)
so the inverse of f is y=2x+1 -> (y-1)/2 =x -> y= (x-1)/2
then you punch in the value of g ((x^2 - 2)-1)/2=y
(x^2 - 3)/2 = f-1g(x)
but the mark scheme says F-1(x)= 1/(2(x-1) and f-1g(x) = 1/(2(x^2 - 3))
How?