<h2>Answer:</h2>
The graph is shown in the attached image
What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.
2 answers:
Answer:
All real numbers greater than 6.
Step-by-step explanation:
To find the domain we have to find if there are intervals where the function is not defined.
In this case, we have a logarithm.
Logarithms of any base are not defined for 0 or values less than zero (negative numbers). So the logarithm argument must be greater than zero.
For the above to be true: must be greater than zero.
> 0
> 6
If x is greater than 6, the argument of the logarithm will be greater than zero and the function will be defined.
The anser is: All real numbers greater than 6.
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Answer:
Step-by-step explanation:
The equation for a circle is given by:
Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:
Let (1,2) be <em>x₁ </em>and <em>y₁ </em>and let (2.5,4) be <em>x₂ </em>and <em>y₂. </em>Therefore:
Thus, r is 2.5.
Plugging these numbers into the equation, we have: