If `f: R -> R` is a function such that `f(x) = x^2 - 3x + 2`. Then find `f[f(x)]`.

Let f:R rarr R be a function such that f(x)=x^(3)-6x^(2)+11x-6. Then f(x) is

If f:R rarr R is a function such that f(x)=2^(x), find.(i) range of f( ii) (x:f(x)=1) (iii) f(x+y)=f(x)+f(y) is true or false.

Let f : R to R be a function such that f(x) = x^(3) + x^(2) f'(1) + xf''(2) + f'''(3), x in R . Then, f(2) equals

Let f :R to R be a function such that f(x) = x^3 + x^2 f' (0) + xf'' (2) , x in R Then f(1) equals:

If f : R to R be a function such that f(x)=x^(3)+x^(2)+3x +sinx, then discuss the nature of the function.

Let f:R rarr R and g:R rarr R be two functions such that fog(x)=sin x^(2) andgo f(x)=sin^(2)x Then,find f(x) and g(x)

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .

Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . Then Write f^(−1) .

If f:R->R is a function such that f(x)=x^3+x^2f''(2)+f'''(3) for all xepsilonR then prove that f(2)=f(1)-f(0)