If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (f/g)(x)?

a) all real values of x
b) all real values of x except x = 5
c) all real values of x except x = –5
d) all real values of x except x = 5 and x = –5

b) all real values of x except x = 5

Step-by-step explanation:

Given functions,

By substituting the values,

Which is a rational function,

Since, a rational function is defined for all real values except those for which the denominator = 0,

That is,

x - 5 = 0

⇒ x = 5

Hence, the domain of (f/g)(x) are all real values of x except x = 5 ,

Option b) is correct.

5y

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.