If `f(x)=3x-5,` then `f^(-1)(x)` is given by (a) `1/((3x-5))` (b) `((x+5))/3` (c)does not exist because `f` is not one-one (d)does not exist because `f` is not onto

If f(x)=3x-5, then f^(-1)(x) (a) is given by 1/((3x-5)) (b) is given by ((x+5))/3 (c) does not exist because f is not one-one (d) does not exist because f is not onto

Let f:R->R be given by f(x)=(x +1)^2-1, x>=-1 Then f^(-1)(x)= (i) -1+sqrt(1+x) (ii)-1-sqrt(1+x) (iii) does not exist as f^(-1)(x) is one one (iv) does not exist as f^(-1)(x) is onto

If f(x)=(|x-1|)/(x-1) prove that lim_(x rarr1)f(x) does not exist.

If f(x)={{:(2-x,xlt0),(x^2-4x+2,xge0)} then the value f(f(f(1))) is a) gt0 b) lt 0 c) =0 d)does not exist

Which of the following statement(s) is (are) INCORRECT ?. (A) If lim_(x->c) f(x) and lim_(x->c) g(x) both does not exist then lim_(x->c) f(g(x)) also does not exist.(B) If lim_(x->c) f(x) and lim_(x->c) g(x) both does not exist then lim_(x->c) f'(g(x)) also does not exist.(C) If lim_(x->c) f(x) exists and lim_(x->c) g(x) does not exist then lim_(x->c) g(f(x)) does not exist. (D) If lim_(x->c) f(x) and lim_(x->c) g(x) both exist then lim_(x->c) f(g(x)) and lim_(x->c) g(f(x)) also exist.

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

The function f:[0,3] to [1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1 is (a)one-one and onto (b)onto but not one-one (c)one-one but not onto (d)neither one-one nor onto

If f(x) = (x^n-a^n)/(x-a) , then f'(a) is a. 1 b. 1/2 c. 0 d. does not exist

Does f'(1) exist if f(x) = |x-1|+|x+1|