If f: R → R is defined by f(x) = x2 − 3x + 2, find f(f(x)).
Advertisement Remove all ads
Solution
It is given that f: R → R is defined as f(x) = x2 − 3x + 2.
`f(f(x)) = f(x^2 - 3x + 2)`
`= (x^2 +3x + 2)^2 - 3(x^2 - 3x + 2) + 2`
= `x^4 + 9x^2 + 4 - 6x^2 - 12x + 4x^2 - 3x^2 + 9x - 6 + 2`
`= x^4 - 6x^2 + 10x^2 - 3x`
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads