The statement that -6 is in the domain of f(g(x)) is true
<h3>Complete question</h3>
If f(x) = -2x + 8 and g(x) = 
, which statement is true?
- -6 is in the domain of f(g(x))
- -6 is not in the domain of f(g(x))
<h3>How to determine the true statement?</h3>
We have:
f(x) = -2x + 8
Start by calculating the function f(g(x)) using:
f(g(x)) = -2g(x) + 8
Substitute
Set the radicand to at least 0
Subtract 9 from both sides
This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........
Hence, the statement that -6 is in the domain of f(g(x)) is true
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we conclude that the center of the circle is the point (-5, 0).
<h3>How to find the center of the circle equation?</h3>
The equation of a circle with a center (a, b) and a radius R is given by:
Here we are given the equation:
Completing squares, we get:
Now we can add and subtract 25 to get:
Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).
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Answer:
The ordered pair is 
Step-by-step explanation:
Answer: " 4x + 2xy - 7pq " .
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Explanation:
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Given: " <span>4x - 7xy + 9xy - 7pq " ; Simplify the expression;
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Combine the "like terms:
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-7xy + 9xy = 2xy ;
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Now, rerewrite the expression, substituting the "-7xy + 9xy"; with " + 2xy" ;
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</span>→ " 4x + 2xy - 7pq " .
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</span>
Answer:
304
Step-by-step explanation: x/760 40/100=
760x40=30,400
30,400 divided by 100=304
