Answer:
R-{13}
Step-by-step explanation:
We are given that
We have to find the domain of fog(x).
Domain of f(x)=R
Because it is linear function.
Domain of g(x)=R-{13}
Because the g(x) is not defined at x=13
fog(x) is not defined at x=13
Therefore, domain of fog(x)=R-{13}
The domain is all real values of except x = 13.
(f o g)(x) = (1/ (x - 13)) + 7.
The domain is all real numbers except x = 13.
First, write the problem as an equation.
The quotient of a number and :
less than:
is twelve:
Put it all together now:
Start by adding to both sides of the equation. Our goal is to get on one side of the equal sign and everything else on the other side:
Now multiply both sides by :
This means that the number equals .
-5
(f∘g)(x) = 12x²-12x+8
<u>Explanation:</u>
fg(x)
f(2x−1)
3(2x−1)²+5
3(4x²-2 * 1 *2x + 1) + 5
3(4x²-4x + 1) +5
12x²- 12x + 3 + 5
12x²-12x+8
The equation factors as ...
Values of x that make the factors zero are the locations of the vertical asymptotes: x = 3 and x = 9.