PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the domain restriction. (f/g)(x)

Question

asked Sep 2, 2020 170k views

1 Answer

Jan Petzold · Answer 1 · 2020-09-06T23:33:10+0000

Answer with Step-by-step explanation:

We are given that:

f(x)=6x+2

and
g(x)=x-7

So,

(f/g)(x)=(f(x))/(g(x))

(f/g)(x)=(6x+2)/(x-7)

For the above function to be well defined the denominator has to be non-zero

So,

the domain restriction is:

x-7≠0

x≠7

Therefore

The domain is all real numbers except the number 7

i.e. the domain is: (-∞,7)∪(7,∞)