" Q1."f(x)=(x^(2))/(1+x^(2))" for "f:R rarr R" is "

If f(x)=(1)/(x^(2)+x+1), then the function f:R rarr R is

f:R rarr R where f(x)=(x^(2)+3x+6)/(x^(2)+x+1), then f(x) is

Let f:R rarr R be a function such that f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f''(3) for x in R What is f(1) equal to

Which of the following function is surjective but not injective.(a) f:R rarr R,f(x)=x^(4)+2x^(3)-x^(2)+1(b)f:R rarr R,f(x)=x^(2)+x+1(c)f:R rarr R^(+),f(x)=sqrt(x^(2)+1)(d)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1

Which one of the following function is suriective but not injective? (A) f:R rarr R,f(x)=x^(3)+x+1(B)f:R,oo)rarr(0,1],f(x)=e^(|x|)(C)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1(D)f:R rarr R+,f(x)=sqrt(1+x^(2))

Check the following functions for one-one and onto (a) f:R rarr R, f(x)=(2x-3)/(7) (b) f:R rarr R, f(x)=|x+1| (c) f:R-{2} rarr R, f(x)=(3x-1)/(x-2) (d) f:R-{-1,1}, f(x)=sin^(2)x .

If f:R rarr R is given by f(x)=(x^(2)-4)/(x^(2)+1) identify the type of function.

If f:R rarr R is a function f(x)=x^(2)+2 and g:R rarr R is a function defined as g(x)=(x)/(x-1), then (i) fog (ii) go f

If f:R rarr R such that f(x)=(4^(x))/(4^(x)+2) for all x in R then (A)f(x)=f(1-x)(B)f(x)+f(1-x)=0(C)f(x)+f(1-x)=1(D)f(x)+f(x-1)=1