Question

Precalc Help pls!!! I am stuck on this one so pls help :))))))

Answer 1

x ≠ 7

(x < 7 or x > 7)

{x : x < 7 U x > 7}

Explanation:

f o g = f [ g(x) ]

This means replace the x of f(x) with g(x):

f o g =
`(4)/(|g(x)|) =(4)/(|x-7|)`

domain = set of values that go into the function

Therefore, for f o g, domain is x ≠ 7 as the function is undefined when x = 7.

So this can be written as (x < 7 or x > 7) or {x : x < 7 U x > 7}