Let `f{(x,(x^2)/(1+x^2):x in R}` be a function from R into R.Determine the range of f.

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (gof)(1)

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (fog)(3)

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (fog)(7)

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (gof)(10)

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.

Express the following functions as set of ordered pairs and determine their range. f:A rarr R,f(x)=x^2+1 ,where A={-1,0,2,4}.

Is the function f(x) = 5x - 4 strictly increasing on R ?

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

Let A={1,2,3} and B={2,4,6,8} . Consider the rule f:A to B,f(x)=2x,AA x in R . Find the domain, codomain and range of f.