If `A={1,2,3,4}, f:R→R=x^2+3x+1` and `g:R→R,8(x)=2x−3` then find `fof(x)`

Let f:R→R:f(x)=x^2 and g: R→R: g(x)=(x+1) . Show that (gof)≠(fog) .

If f :R ->R , f(x)=x^3 +3 ,and g:R->R , g(x)=2x + 1 , then f^(-1)g^(-1)(23) equals

If f:R^+→R^+ and g:R^+→R^+ , defined as f(x)=x^2,g(x)= sqrtx ​, then find gof and fog whether are they equivalent?

If f:R→R and g:R→R be two functions defined as below, then find fog(x) and gof(x); f(x)=2x+3,g(x)=x^2+5

Let f:R→R:f(x)=(x+1) and g:R→R:g(x)=(x^2 −4) . Write down the formulae for (fog) .

Let f:R→R:f(x)=(x+1) and g:R→R:g(x)=(x^2−2) . Write down the formulae for (gof) .

Let f_1:R→R,f_2:[0,∞)→R, f_3:R→R and f_4:R→[0,∞) be defined by f_1(x)={ ∣x∣ if x<0 ; e^x if x≥0 ; f_2(x)=x^2 ; f_3(x)={ sin x if x<0 ; x if x≥0 ; f_4(x)={ f_2(f_1(x)) if x<0 f_2(f_1(x)) if x≥0 ​then f_4 is

Find fog(2) and gof(1) , when f:R→R;f(x)=x^2+8 and g:R→R;g(x)=3x^3+1 .

Functions f,g:R→R are defined, respectively, by f(x)=x^2+3x+1,g(x)=2x−3 , find fof

If f:R→R, g:R→R are given by f(x)=(x+1)^2 and g(x)=x^2+1 , then write the value of fog(−3) .