निम्नलिखित फलनों का आलेख खींचिए
(i) `f : R to R "ताकि " f(x) = x - 1`
(ii) `f : R to R "ताकि " f(x) = |x-1|`
(iii) `f : R to R "ताकि " f(x) = |x-2|`
(iv) `f : R to R "ताकि " f(x) = 2 - x`

f : R to R : f (x) =x^(2) is

Let f : R to R : f (x) = (2x -3) " and " g : R to R : g (x) =(1)/(2) (x+3) show that (f o g) = I_(R) = (g o f)

If f:R to R, f(x) =x^(3)+1 , then f is :

Which of the following are one-one ,onto (or) bijections? Justify your answer. (i) f: R to R, f(x) =(2x+1)/3 (ii) f: N to N, f(x) = 2x+3 (iii) f:[0, infty) to [0,infty), f(x) = x^(2) (iv) f: R to R, f(x) =x^(2) (v) f: R to (0, infty), f(x) = 5^(x) (vi) f: (0, infty) to R, f(x) = log_(e)^(x) (vii) f: R to R, f(x) = {{:(x, if x gt 2),(5x-2, if x le 2):}

If f: R to R is defined by: f(x-1) =x^(2) + 3x+2 , then f(x-2) =

Let f : R to R : f (x) =(2x +1) " and " g : R to R : g (x) =(x^(2) -2) Write down the formulae for (i) ( g o f) (ii) ( f o g) (iii) ( f o f) (iv) ( g o f)

If f :R to R is defined by f (x) =(x )/(x ^(2) +1), find f (f(2))