If the function `f:R to R` is given by `f(x)=x^(2)+2 ` and `g:R to R` is given by `g(x)=(x)/(x-1), x ne 1`, then find fog and gof, and hence find fog(2) and gof(-3).

If the function'f : R rarr R is given by f(x) = x^(2) +2 and g:R rarr R is given by g(x) = (x)/(x-1), x ne 1 then find fog and gof and hence find fog (2) and gof (-3) .

If the function f:R to R is given by f(x)=(x+3)/(3) and g:R to R is given g(x)=2x-3 , then find (i) fog (ii) gof. Is f^(-1)=g ?

If the function f:RrarrR is given by f (x)=(x)^2+3x+1 and g:RrarrR is given by g(x)=2x-3 than find fog and gof.

Show that a function f:R to R given by f(x)=3x+5 is a bijective.