Question

Pleasepleasepleaseplease help me

Answer 1

Answer:

$(\frac{f}{g} )(x)=5-x$

Step-by-step explanation:

If $f(x)=25-x^2$ and $g(x)=x+5$

Then $(\frac{f}{g} )(x)=\frac{25-x^2}{x+5}$

We can factor out the numerator to get

$(\frac{f}{g} )(x)=\frac{(5-x)(5+x)}{x+5}$

And thanks to the communicative property of addition, $5+x=x+5$

This means that the x+5 on both the top and the bottom cancel out. This leaves you with

$(\frac{f}{g} )(x)=5-x$