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Plz answer hurry. 20 points for right answer

Plz answer hurry. 20 points for right answer-example-1
User Hbar
by
7.7k points

2 Answers

4 votes
First, we need to define the function of (fog)(x)
(fog)(x) = f(g(x))
it means we need to substitute the x in the function f(x) with g(x)

f(x) = x + 7
change x with g(x)
fog(x) = g(x) + 7
fog(x) =
\cfrac{1}{x-13} + 7

equalize the denominators
fog(x) =
\cfrac{1}{x-13} + 7
fog(x) =
\cfrac{1}{x-13}+\cfrac{7(x-13)}{x-13}

simplify
fog(x) =
\cfrac{7x-91+1}{x-13}
fog(x) =
\cfrac{7x-90}{x-13}

Second, determine the domain of the function
If the function is in fraction form, the denominator of the fraction can't be equal to zero.
x - 13 ≠ 0
x ≠ 13
The domain is x
The answer is last option
User Supun Praneeth
by
7.5k points
1 vote
Did You Figure This Out I Need Help Too. Lol
User Paritosh Singh
by
8.2k points

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