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Leto [7]
3 years ago
14

Use the given functions f and g to find f + g, f − g, fg, and f g . State the domain of each. (Enter your answer for the domain

in interval notation.) f(x) = 3x + 6, g(x) = x + 2.
Find the domain of each problem.
f + g = Domain=
f-g= Domain=
(f)(g)= Domain=
f/g=Domain=
2.) Find (g ○ f)(x) and (f ○ g)(x) for the given functions f and g.
f(x) = 3/(x+5), g(x) = 3x − 6
(g ○ f)(x) =
(f ○ g)(x) =
3.) Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x2 − 8x + 2
y =
4.) Use the vertex formula to determine the vertex of the graph of the function.
f(x) = x2 − 14x Write the function in standard form.
f(x) =
5.) Use the vertex formula to determine the vertex of the graph of the function.
f(x) = 3x2 − 10x + 1 Write the function in standard form.
f(x) =

Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer: The answers are stated below

Step-by-step explanation: Attached below is the explaination of the solution.

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Step-by-step explanation:

003:

To solve this, we'll be using the Pythagorean theorem, a^2+b^2=c^2

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004:

For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/\sqrt{161}.

005:

From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be \sqrt{161}/15.

Answer:

003: \sqrt{161}

004: 8/\sqrt{161}

005: \sqrt{161}/15

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