Question

Find *f o g* and *g o f*

f(x)= 8/(x^2-1) , g(x) = x^3 +1

also find domain of *f,* *g*, *f o g* , and
*g o f*

Answer #1

f(x) = 3 / [x^2 +1] ; g(x) = x + 1.
2a: f o g(x) = ?
2b: g o f(x) = ?
2c: Domain of f ?
2d: Domain of g ?
2e: Domain of f o g ?
2f: Domain of g o f ?

f(x) = (5)/(sqrt(4-x)), g(x)=x+4
1. find domain of f
2. domain of g
3. (f∘g)(x)
4. domain (f∘g)

if
(x)= x^2+ 5 and g(x) =2x find ( f o g )(x) and (g o f)(x)

Let F(x)=f(x3) and G(x)=(f(x))3 . You also
know that a2=12,f(a)=3,f′(a)=8,f′(a3)=4. Find
F'(a)= and G'(a)= .
Let F(x)=f(f(x))and G(x)=(F(x))2 . You also know that
f(4)=13,f(13)=2,f′(13)=5,f′(4)=11.
Find F′(4)= and G′(4)=

For f(x) = x^2+6 and g(x) = x^2-5 find the following
functions.
a.) (f o g)(x)
b.) (g o f) (x)
c.) (f o g) (4)
d.) (g o f) (4)

Let f(x)=3x4+8 and g(x)=x+4. (f∘g)(x)=
Let f(x)=9x+9 and g(x)=5−7x2. (f∘g)(−2)=(f∘g)(−2)=
Let h(x)=(f∘g)(x)=1/(x+8)^3. Find f(x) given g(x)=x+8. f(x)=

Q 1) Consider the following functions.
f(x) = 2/x, g(x) = 3x + 12
Find (f ∘ g)(x).
Find the domain of (f ∘ g)(x). (Enter your answer using interval
notation.)
Find (g ∘ f)(x).
Find the domain of (g ∘ f)(x). (Enter your answer using
interval notation.)
Find (f ∘ f)(x).
Find the domain of (f ∘ f)(x). (Enter your answer using
interval notation.)
Find (g ∘ g)(x).
Find the domain of (g ∘ g)(x). (Enter your answer using interval
notation.)
Q...

1. Let f(x)=x2−9 and g(x)=15−x.
Perform the composition or operation indicated.
(fg)(−8)=
2. Let f(x)=x2−8 and g(x)=16−x.
Perform the composition or operation indicated.
(f/g)(7)=
3. Let f(x)=5x+4 and g(x)e=4x−7. Find (f+g)(x),(f−g)(x),
(fg)(x), and (f/g)(x)
Give the domain of each.

f(x)=1x−2 and g(x)=x−7x+3. For each function h given below, find
a formula for h(x) and the domain of h. Use interval notation for
entering the domains.
a) h(x)=(f∘g)(x). h(x) = Domain =
b) h(x)=(g∘f)(x). h(x) = Domain =
c) h(x)=(f∘f)(x). h(x) = Domain =
d) h(x)=(g∘g)(x). h(x) = Domain =

f(x)=x^3+1 and g(x) =x^-2
find rule for function
f-g

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