The domain of the function g(x) = 2 log₂(x - 4) + 3 will be (4, ∞). Then the correct option is A.
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The graph of the function f(x) = log₂x is shown.
Function g is defined as g(x) = 2f(x - 4) + 3.
Then the function g(x) will be
g(x) = 2 log₂(x - 4) + 3
Then the domain of the function g(x) will be (4, ∞).
Then the correct option is A.
More about the domain and range link is given below.
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Answer:
Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get
Step-by-step explanation:
We need to solve the expression:
We know the exponent rule:
Now, another exponent rule says that:
We also know that:
=
So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get
1) That equation cannot be factored. And you cannot find roots by using the root theorem or any exact method.
2) That means that you should use either a numerical method, which exceeds the high school level (even the basics college levels), or a graphing calculator.
3) I opted for the graphing calculator and found these roots for you:
One important observation is that the degree of polynomila, i.e. 6, indicate the maximum number of roots:
So, you can expect 6 solutions. These are:
Real roots:
x ≈ 0.65
x ≈ 2.13
Complex roots:
x ≈ -1.48 - 0.24i
x ≈ - 1.48 + 0.24i
x ≈ 0.59 - 1.87i
x ≈ 0.59 + 1.87i
Answer:
The integers are -3 and -4.
Step-by-step explanation:
Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.
If the smaller integer is x, then the next greater integer is x + 1.
x + 1 = 4x + 13
-3x = 12
x = -4
x + 1 = -3
Answer: The integers are -3 and -4.
Check:
Smaller integer: -4
Larger integer: -3
4 times smaller integer = 4 * (-4) = -16
13 greater than 4 times smaller = -16 + 13 = -3 = greater integer
-3 and -4 is the correct answer.
Answer:
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Step-by-step explanation: