If `f:R^(+)rarrR` such that `f(x)=log_(3)x and f^(-1)(x)=k^x` then `k+2=`

If f:R rarr R is such that f(x)=log_(3)x then f^(-1)x=

Let a function f:R rarr R be such that f(1)=2 , f'(0) = ln2 and f(x+y)=2^(x)f(y)+4^(y)f(x),AA x,y in R . If f'(2)=k ln2 ,then number of divisors of k ,is

Let f:R rarr R, f(x)=x+log_(e)(1+x^(2)) . Then

If f(x)=(a^(x)+a^(-x))/(2) and f(x+y)+f(x-y)=kf(x)f(y) then k=

f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) Then f(x) is

f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) Then f(x) is increasing . In the above question k can take value,

If y=f(x)=(2x-1)/(x-k), then f(y)=x given k=

f:R rarr R,f(x) is differentiable such that f(f(x))=k(x^(5)+x),k!=0). Then f(x) is always increasing (b) decreasing either increasing or decreasing non-monotonic

R be set of real numbers the function f:R^()rarr R f(x)=log|x+sqrt(1+x^(2))| then range of f(x) is