Working with Functions

[clb393]

The function \(\displaystyle f(x) = 3x\) can be represented by the notation \(\displaystyle f : x \rightarrow 3x\), where \(\displaystyle x\) "maps" to \(\displaystyle 3x\). If a function \(\displaystyle g\) is defined as \(\displaystyle g : x \rightarrow 3^2 + x\), find the number that \(\displaystyle -2\) maps to in function \(\displaystyle g\).

My problem is: "Find the number that \(\displaystyle -2\) maps to in function \(\displaystyle g\)".
I do not understand the problem. Can anyone help me? Thanks.

 

[mmm4444bot]

Hi Caleb:

The given information explains that there is more than one notation to indicate functional relationships between two sets of numbers (the domain and the range.)

Here's what they told you about a functional relationship that they've decided to call g.

g: x -> 3^2 + x

This is just one way to state what function g does to its inputs.

Here's what g does:

3^2 + x

In other words, function g takes the input value x and adds 3^2 to it.

The exercise asks what value comes out of function g when the input value x is -2.

Would it help you to find this number, if I define g as follows?

g(x) = x + 3^2

Find g(-2).

Let us know, if you need more help.

Cheers ~ Mark