Confused about composite functions

  • #1
248
3

Homework Statement


1. Find a formula for
(f
composite.gif
g)(x) = ?

2. Find a formula for
(f
composite.gif
f )(x) = ?

3. Find a formula for the composition below.
g(h(x)) =


4. Find a formula for the composition below.
(h
composite.gif
g)(x) =


The Attempt at a Solution


1. f(g(x))
2. f(f(x))
3. (g º h)(x)
4. h(g(x))

Why are these incorrect?
 

Answers and Replies

  • #2
34,675
6,386

Homework Statement


1. Find a formula for
(f
composite.gif
g)(x) = ?

2. Find a formula for
(f
composite.gif
f )(x) = ?

3. Find a formula for the composition below.
g(h(x)) =


4. Find a formula for the composition below.
(h
composite.gif
g)(x) =


The Attempt at a Solution


1. f(g(x))
2. f(f(x))
3. (g º h)(x)
4. h(g(x))

Why are these incorrect?
All you have done is to rewrite each composition in a different form. I suspect that there are formulas for f, g, and h that you have overlooked.
 

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