f(x) =&nbsp;x2 − 8xx − 8&nbsp;&nbsp;&nbsp; and&nbsp;&nbsp;&nbsp; g(x) = x&nbsp;

Question

f(x) =&amp;nbsp;x2 − 8xx − 8&amp;nbsp;&amp;nbsp;&amp;nbsp; and&amp;nbsp;&amp;nbsp;&amp;nbsp; g(x) = x&amp;nbsp;

nick1337 · Accepted Answer

To solve the given problem, we are given two functions:

f (x) = \frac{x^{2} - 8 x}{x - 8}

g (x) = x

Let's analyze each function separately.
For

f (x)

:
To simplify

f (x)

, we'll factor the numerator and then cancel out the common factor with the denominator.

f (x) = \frac{x (x - 8)}{x - 8}

Here, we can see that the term

(x - 8)

appears in both the numerator and denominator. Therefore, we can cancel it out, leaving us with:

f (x) = x

So, the simplified form of

f (x)

is

f (x) = x

.
For

g (x)

:
The function

g (x)

is given as

x

. It does not require any further simplification.
So, the simplified form of

g (x)

is

g (x) = x

.

f(x) = x2 − 8xx − 8    and