If `f(x)=p x+q and g(x)=r x+s and f[g(x)]=g[f(x)]<=>`

If f(x) =px + q and g(x) =rx +s and f[g(x)]=g[f(x)]

If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

If f(x)=1+2x and g(x) = x/2 , then: (f@g)(x)-(g@f)(x)=

If f(x)=x^(2)-4x+14, g(x) = x - 1, q(x) = x - 3 and f(x) = g(x) q(x) + r(x), then find r(x).

Let f:R→R: f(x)=x+1 and g:R→R: g(x)=2x−3 . Find (f−g)(x) .

Suppose f,g, R to R . If g(x) defined by g(x) = x^(2) + x-2 and (g.f)(x) =4x^(2) - 10 x + 4 , then f(x) may be given by

Give an example of polynomials f(x),g(x),q(x) and r(x) satisfying f(x)=g(x)dot q(x)+r(x), where degree r(x)=0

If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] AA x in R, f(g(x)) =