Let u and v be two functions defined on R as `u(x)=2x-3` and `v(x)=(3+x)/2` .Prove that u and v are inverse to each other.

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find fg

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find f-g

Let f and g be two functions defined by f(x)=sqrt(x-1) ,and g(x)=sqrt(4-x^2) .Find f/g

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

Let f and g be two real functions defined by f(x)=1/(x+4) and g(x)=(x+4)^3 , find the following: i) f-g ii) f/g iii) 2f

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, g: R rarr R be functions defined respectively by f(x)=x+1, g(x)=2 x-3 Find fg.

f : R - {(-4)/3} rarr R be a function defined as f(x) = (4x)/(3x +4) . The inverse of f is the map g : Range f rarr R - {(-4)/3} given by