Let `f:R^+ -> R` is a function defined as `f(x) = log x`. Find (i) Image of domain of `f`, (ii) `(x: f(x)=-2)` (iii) `f(xy) = f(x) + f(y)`

Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) and f^'(6)

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 a function f:R^(+) to R is defined as f(x)="log"_(e)x, then find each of the following: (i) Range of f (ii) f(x)=-2 (iii) Is f(xy)=f(x)+f(y) true ?

A function f : R rarr R defined by f(x) = x^(2) . Determine (i) range of f (ii). {x: f(x) = 4} (iii). {y: f(y) = –1}

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

If f: R ->R is defined by f(x) = x^2- 3x + 2 , find f(f(x)) .

Let f : R to R be a function defined by f (x + y) = f (x).f (y) and f (x) ne 0 for andy x. If f '(0) exists, show that f '(x) = f (x). F'(0) AA x in R if f '(0) = log 2 find f (x).

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is