Let f : R rarr R and g : R rarr R be def...

Let `f : R rarr R and g : R rarr R` be defined by `f(x)=x^2+3x+1` and `g(x)=4x-3`. Find formulas defining the compositions fog,gof,fof and gog.

Similar Questions

Explore conceptually related problems

If f : R rarr R be defined by f(x)=|x| , show that fof=f

Let g:RrarrR and f:RrarrR is defined as f(x)=2x and g(x)=x^2 . Find f0g and g0f .

If f :IR rarrIR is defined by f(x)=x^2-3x+2 , find f(f(x))?

Let f,g: R rarr R be defined respectively by f(x)=x+1,g(x)=2x-3 .Find f+g,f-g and f/g .

If f:RtoR is defined by f(x)=x^(2)-3x+2 , find f(f(x)) .

If f(x)=(x) and g(x)=(5x-2) Find f0g and g0f

If f,g: RrarrR are defined respectively-by f(x)=x+1, g(x)=2x^2+3 ,find (fg)x,

Let f:R rarr R is defined by f(x)=3x-2 and g:R rarr R is defined by g(x)=(x+2)/3 . Show that f.g=g.f .

If f,g: RrarrR are defined respectively-by f(x)=x+1, g(x)=2x^2+3 ,find (f+g)(x)

If f,g: RrarrR are defined respectively-by f(x)=x+1, g(x)=2x^2+3 ,find (f/g)(x)