The set `A={x in R : 2f(x)=f(2x)},` where `f(x)=x^2+3x,` is (i)`{0,-1}` (ii)`{0}` (iii)`{-1,1}` (iv) none of these

The range of f(x)=sin^(-1)x+sqrt(x) is (i) R(ii)(0,oo)(iii)(0,1) (iv) none of these

Let f'(x)>0AA x in R and g(x)=f(2-x)+f(4+x) Then g(x) is increasing in (i)(-oo,-1)( ii) (-oo,0)( iii) (-1,oo)( iv ) none of these

Let f^(prime)(x)>0 AA x in R and g(x)=f(2-x)+f(4+x). Then g(x) is increasing in (i) (-infty,-1) (ii) (-infty,0) (iii) (-1,infty) (iv) none of these

If f(x)=max{x^(2),2^(x)}, then if x in(0,1),f(x)=(i)x (ii) 2^(x) (iii) Both are equal (iv) none of these

If f(x)=mx+c and f(0)=1=f'(0) then f(-2)= (i) 1 (ii) -1 (iii) 3 (iv) +-1

If f(x)=(1-x)/(1+x)" then "f(x)+ f(1/x)=...... where (x)in R-{0,1}.

If f(x)= |x - 1| + |x - 3|, then f'(2)= (i)-2 (ii)-1 (iii)0 (iv)2

If f(x)=(1)/(x)-1 where x ne 0, then: f(x)-2.f(2x)=

(d)/(dx) (AC)= f(x) (MC-AC) , then f(x)= (i) (1)/(x) (ii) x (iii) x^(-2) (iv) -x^(-1)

Examine f:R_+ rarr R +, f(x) =x +1/x "where"R_+={x in R :x gt 0} functions if it is (i) injective (ii) surjective, (iii) bijective and (iv) none of the three.