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) = ( x+2)/(3x-1) , then f(f(x)) is

If f : R to R is given by f(x) = 3x-5, then f^(-1) (x) is

If f'(x)=3x^2 -4x+5" and "f(1)=3 , then find f(x) .

If f'(x) = 3x^2 - 4x + 5 and f(1) = 3 then find f(x).

If f(x)=2x^(2)+3x-5 , then prove that f'(0)+3f'(-1)=0

Assertion (A) : f(x)={{:(x+1",", x lt 2), (2x-1",", x ge 2):} then f'(2) does not exist. Reason (R) : f(x) is not continuous at 2.

If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum value of fdot does not exist because f is unbounded is not attained even through f is bounded is equal to 1 is equal to -1

Consider the following graph of the function y=f(x). Which of the following is//are correct? (a) lim_(xto1) f(x) does not exist. (b) lim_(xto2)f(x) does not exist. (c) lim_(xto3) f(x)=3. (d)lim_(xto1.99) f(x) exists.

The function f:[0,3]->[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

Find f'(x) , given f(x)=(x^(2)+5x+6)/(x^(2)+3x+2) .