Given `f:R rarr R as f(x)=3x+4`.If ordered pair (a,8) and (2,b) belongs to f.Find 'a' and 'b'.

Let f:R rarr R be such that f(x)=2x .Determine f(f(x).

Prove that f : R rarr R, f(x)=4x-5 is invertible and find f^-1(x) .

A function f : R rarr R is defined as f(x)=10x+7 for all x in R . Find the function g : R rarr R such that gof=fog=I_R .

Let f : R rarr R be defined as f(x)=2x+3 . Show that f is invertible and find f^-1 : R rarr R .

Let f : R rarr R be defined as f(x)=x^3+2 . Show that f^-1 : R rarr R exists and hence find the formula for f^-1 .

Let f:R rarr R be such that f(x)=2x .Determine whether f(x+y)=f(x).f(y) holds?

Let f : R rarr R, f(x)=x^2 and g : R rarr R,g(x)=sinx be two given functions. Is gof=fog ?

If f :IR rarrIR is defined by f(x)=x^2-3x+2 , find f(f(x))?

A relation R is defined from A={2,3,4,5} to set B={3,6,7,10} as follows: (x,y) in R . Express R as set of ordered pairs determine the domain and range of R.

If f:RrarrR is given by f(x)=(3-x^3)^(1//3) , then find fof (x)