Write a linear equation to describe the number pattern that starts with 3 and continues with positive odd integers.

In order to have a linear equation, you have to write an equation like

The sequence has to start with 3, so we must choose , because this guarantees that when we have

Now, must be even. In fact, if is even, will always be even for every possible , and will be odd.

So, for example, you might choose

Which will produce the following sequence:

and so on

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2