SOLUTION: Please solve, show work and simplify 1. f(x)=3x-2 g(x)=x2-3x Find: (fog)(x) - is it a function or not 2. f(x)=3x-2 g(x)=x2-3x Find: (gof)(x) 3.

Question 88139: Please solve, show work and simplify
1. f(x)=3x-2
g(x)=x2-3x
Find: (fog)(x) - is it a function or not
2. f(x)=3x-2
g(x)=x2-3x
Find: (gof)(x)

3. t(x)=3x-(x2-1)
g(x)=2x+3
Find: (got)(x)
I am soooooo confused and have not idea how to do this - HELP!!
redrobyn47

Answer by Flake(45) (Show Source): You can put this solution on YOUR website!
1. ;
Find: (fog)(x)
-------Basically what this is saying is f(g(x)).
In other words, for , you replace "x" with g(x) which is
So (fog)(x) =
becomes
----------------------------------------------------
2. Find: (gof)(x)
Means for g(x) replace "x" with f(x)
3. Find: (got)(x)
Means for g(x) replace "x" with t(x)
RELATED QUESTIONS
please solve and show work also : thank you!! f(x) = -4x+2 g(x) = 6x2 + 4x -5... (answered by Nate)

please solve, show work and simplify 1. t(x)=3x-(x2-1) g(x) =2x+3 Find:... (answered by Nate)

Please solve and then tell if a function or not Thank you so much!! f(x) =3x-2... (answered by stanbon,jim_thompson5910)

F(x) =3x+2 and g(x) =x2-5 find the function f+g (answered by MathLover1)

Solution checking For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined... (answered by rothauserc)

For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o... (answered by rothauserc)

given the functions: f(x) = x2 - 3x +5 and g (x) = 5x - 1; find f... (answered by nyc_function)

F(x)=3x-4 and g(x)=x^2+1 Find (fog)(2) and... (answered by robertb)

find f(g(x)if f(x)=x2 and g(x)=-1 plot 3x=6y =12 y=5... (answered by stanbon)