SOLUTION: Please help: For f(x) = 5 – 3x and g(x) = x2 – 1, find f(g(x)) and g(f(x)). thanks

Algebra.Com
Question 73867: Please help:
For f(x) = 5 – 3x and g(x) = x2 – 1, find f(g(x)) and g(f(x)).
thanks

Answer by rmromero(383)   (Show Source): You can put this solution on YOUR website!

Please help:
For f(x) = 5 – 3x and g(x) = x2 – 1,
find f(g(x))
f(x) = 5 - 3x and g(x) = x^2 - 1
f(g(x)) = 5 - 3(x^2-1)
= 5 - 3x^2 + 3
= 8 - 3x^2

and g(f(x)).
f(x) = 5 - 3x and g(x) = x^2 - 1
g(f(x)) = (5 - 3x)^2 - 1
= 25 - 30x + 9x^2 - 1
= 24 - 30x + 9x^2
RELATED QUESTIONS

For the function f(x)=3x-5 and g(x)=x2+1, find... (answered by stanbon)
1. f(x)=3x and g(x)=4x-3, find f[g(5)] and g[f(5)].? please... (answered by edjones)
Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value. f(g(0)) g(f(4/5)) thanks... (answered by jim_thompson5910)
Let f(x) = x2 + 3x – 4 and g(x) = x + 5. Find f(x) •... (answered by oscargut)
find (f+g(x), (f*g)(x) and (f/g)(x) for each f(x) and g(x) 4. f(x)=3x+4 g(x)=... (answered by solver91311)
Given f(x) = 2x +3 and g(x) = x2 + 3x - 1, find... (answered by josgarithmetic)
Solution checking For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined... (answered by rothauserc)
F(x) =3x+2 and g(x) =x2-5 find the function f+g (answered by MathLover1)
find f(g(x)if f(x)=x2 and g(x)=-1 plot 3x=6y =12 y=5... (answered by stanbon)