# Math Help - HELP! can someone give me an example of composite function word problem

1. ## HELP! can someone give me an example of composite function word problem

Pls i really need your help. i dont have any idea how to make a word problem for COMPOSITE FUNCTIONS. can you give a sample? THANKS GOD BLESS..

2. ## Re: HELP! can someone give me an example of composite function word problem

Suppose the temperature recorded by a weather balloon is a function of height, T= f(h) (if you want a specific function, just put in any function you like for f), and that the height of the balloon is a function of time, h= g(t). Then the temperature, as a function of time, it the composite function, $T= f\circ g(t)= f(g(t))$.

Now, do you understand what that means? That is far more important than just giving an answer.

3. ## Re: HELP! can someone give me an example of composite function word problem

Hello, jilian!

Make a word problem for composite functions. Can you give a sample?

I like HallsofIvy's example!

I think of composite functions as "machines" (number crunchers) in a row.

The first is a machine that converts time $(t)$ into height $(h).$

. . $t \;\to\;\boxed{\begin{array}{c}\text{Height} \\ h(t) \end{array}}\;\to\; h$

The second is a machine that converts height $(h)$ into temperature $(T).$

. . $h \;\to\;\boxed{\begin{array}{c}\text{Temp.} \\ T(h) \end{array}} \;\to\;T$

Placing the machines in sequence, we have:

. . $t \;\to\; \boxed{\begin{array}{c}\text{Height} \\ h(t) \end{array}} \;\to\;h\;\to\;\boxed{\begin{array}{c}\text{Temp.} \\ T(h) \end{array}}\;\to\;T$

If this were an "assrmbly line" in our "factory",
. . it would be practical and economical to have one machine to do the job.

. . $t \;\to\;\boxed{\begin{array}{c} T(h(t)) \end{array}} \;\to\;T$

This would convert time $(t)$ directly to temperature $(T)$.

4. ## Re: HELP! can someone give me an example of composite function word problem

can you pls give an example math word problem for composite function?

5. ## Re: HELP! can someone give me an example of composite function word problem

Originally Posted by jilian
can you pls give an example math word problem for composite function?
Let me google that for you