Let `N rarr R` be a function defined as `f(x) = 4x^2 + 12x +15` Show that `f : N rarr S`, where, S is the range of f, is invertible. Find the inverse of f.

Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) and f^'(6)

Consider f : R rarr R given f(x) = 4x + 3. Show that f is invertible. Find the inverse of f.

Consider f:RtoR given by f(x)=3x+2 show that f is invertible. Find the inverse of f

Let f: R rarr R , where f(x) = sinx , Show that f is into

If f: R rarr R be a function defined by f(x)=4 x^3-7 , show that the function f is a bijective function.

Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 if n is even. Show that f is invertible. Find the inverse of f. Here W is the set of all whole numbers.

Let be a function defined by f(x) =sqrtx is a function if it defined from f : N to N

Let f, g: R rarr R be defined by f(x)=x^2+1 and g(x)=sin x . Find f o g and gof .