F(x)=(8x-3)/(2x+7) find all numbers that are not in the domain step by step plz lol thanks

Question

F(x)=
`(8x-3)/(2x+7)`

find all numbers that are not in the domain
step by step plz lol thanks

Answer 1

9514 1404 393

Answer:

x = -7/2 is not in the domain

Explanation:

The numbers that must be excluded from the domain are the ones that make the function be undefined. That is, any value of x that makes the denominator zero will be excluded from the domain.

2x +7 = 0

2x = -7

x = -7/2 . . . . . must be excluded

The only number not in the domain is x = -3.5.