(1) if `f(x)=x+|x|` find f(3) and f(-3)

f(x) = |x|/x. Find f(-3)

f(x)+f(y)=f((x+y)/(1-xy)) ,for all x,yinR . (xy!=1) ,and lim_(x->0) f(x)/x=2 .Find f(1/sqrt3) and f'(1) .

If f(x)=x^2+2x+7 , find f\ '\ (3) .

If function f satisfies the relation f(x)*f^(prime)(-x)=f(-x)*f^(prime)(x) for all x ,and f(0)=3, and if f(3)=3, then the value of f(-3) is ______________

If f(x)=2^(3x-5) , find f^(-1)(16)

The function f is defined by f(x)={{:(x+3" if ",xlt1),(x^(2)" if ",xge1):} . Find f(-5),f(1), and f(3) .

If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

If f:R->R be defined by f(x)=x^2+1 , then find f^(-1)(17) and f^(-1)(-3) .

If f(x)=a x^2+b x+c is a quadratic function such that f(1)=8,f(2)=11 and f(-3)=6 find f(x) by using determinants. Also, find f(0)dot

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=