Please Help! Functions

[jay1]

How do I solve these functions given the following information?

x -3, -2, -1, 0, 1, 2, 3
f(x) -9, -7, -5, -3, -1, 1, 3
g(x) 3, 2, 1, 0, -1, -2, -3

A) (fog) (-1)

B) (gof) (1)

C) (fof) (3)

 

[mmm4444bot]

These are composite functions. In other words, the output of one function is used as the input to another function.

The symbol f○g(-1) represents the number that is output from function f when the number g(-1) is the input.


I'll do a couple examples.

f○g(2) = ?

First, we find the number g(2).

The chart shows that g(2) is -2

That is, function g outputs -2 when its input is 2.

Next, we use the output -2 as the input to function f.

The chart shows that f(-2) is -7.

Therefore, f○g(2) = -7

---

f○f(0) = ?

When x = 0, f(x) = -3

When x = -3, f(x) = -9

Therefore, f○f(0) = -9


I hope this helps. If you need more help, please show us what you tried or ask a specific question about these composite functions. Cheers :cool:

 

[jay1]

mmm4444bot Thank you so much!!!