Identify the roots of the equation and the multiplicities of the roots.

(b) has root 5 of multiplicity 2 and root -2 with multiplicity 1.

Step-by-step explanation:

Here, the given expression is:

Now, here as we can see from the given expression,

It has 2 roots.

⇒ Either ( x- 5)  = 0, or ( x + 2) = 0

⇒ either x  = 5 or x  = -2

So, x =5 and x  = -2 are the ONLY TWO ROOTS of the given expression.

Now, 5 is a root of multiplicity 2 as

and, -2 is a root of multiplicity 1 as ( x + 2)  = 0

Hence, has root 5 of multiplicity 2 and root -2 with multiplicity 1.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

a. is correct