The function ƒ(x) = x−−√3 is translated 3 units in the negative y-direction and 8 units in the negative x- direction. Select the
correct equation for the resulting function.
1 answer:
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Volume of a sphere is given by the formula: 
If we pull the 4 out front we have,
.
Volume of a cone is given by the formula:
Notice that if the height of the cone is equal to the radius,
then it's exactly what we see in our volume formula without the 4!
If we pull the 4 out front we have,
Volume of a cone is given by the formula:
Notice that if the height of the cone is equal to the radius,
then it's exactly what we see in our volume formula without the 4!
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))
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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