If `f: AvecB` is an injection such that range of `f={a}dot` Determine the number of elements in `Adot`

If f: A->B is an injection such that range of f={a} . Determine the number of elements in A .

Find the range of f(x)=cos((log)_e{x})dot

Find the range of f(x)=1/(4cosx-3)dot

Find the range of f(x)=sgn(x^2-2x+3)dot

If f:x->y, where x and y are sets containing natural numbers, f(x)=(x+5)/(x+2) then the number of elements in the domain and range of f(x) are, respectively. (a) 1 and 1 (b) 2 and 1 (c) 2 and 2 (d) 1 and 2

Write the range of the real function f(x)=|x|dot

Let f be real valued function from N to N satisfying. The relation f(m+n)=f(m)+f(n) for all m,n in N . If domain of f is first 3m natural numbers and if the number of elements common in domain and range is m, then the value of f(1) is

Write of the domain and range of f(x)=sqrt(x-[x])dot

Let R be the set of real numbers. If f:R->R is a function defined by f(x)=x^2, then f is injective but not surjective surjective but not injective bijective none of these (a) injective but not surjective (b) surjective but not injective (c) bijective (d) non of these

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