Let `f: R->R` , `g: R->R` be two functions defined by `f(x)=x^2+x+1` and `g(x)=1-x^2` . Write `fog\ (-2)` .

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

Let f:R→R, g:R→R be two functions given by f(x)=2x+4 , g(x)=x-4 then fog(x) is

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) = |x| -x AA x in R. Then find fog and gof .

If f: R to R and g: R to R be two functions defined as f(x)=x^(2) and g(x)=5x where x in R , then prove that (fog)(2) ne (gof) (2).