If f:[1,∞)→[2,∞) is given by f(x)=x+1/xthen f ^−1(x)=

If f:[-1,2]->B is given by f(x)=3x^2 then find B so that f is onto.

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

Given f(x) =2x -x^(2) then f(1)+f(2) is :

If A=[(1,2),(2,1)] and f(x)=(1+x)/(1-x) , then f(A) is

if f(x) = (x-1)/(x+1) the f(2x ) is

Let f_1:R→R,f_2:[0,∞)→R, f_3:R→R and f_4:R→[0,∞) be defined by f_1(x)={ ∣x∣ if x<0 ; e^x if x≥0 ; f_2(x)=x^2 ; f_3(x)={ sin x if x<0 ; x if x≥0 ; f_4(x)={ f_2(f_1(x)) if x<0 f_2(f_1(x)) if x≥0 ​then f_4 is

Show that the function f:N to N, given by f (1) =f (2) =1 and f (x) =x -1, for every x gt 2, is onto but not one-one.

If f(x)=xtan^(-1)x , then f'(1) is

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these