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masseyboy428
27.03.2020 •
Mathematics
What is the range of the equation
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Ответ:
The range of the equation is![y2](/tpl/images/0566/6999/a026c.png)
Explanation:
The given equation is![y=2(4)^{x+3}+2](/tpl/images/0566/6999/80549.png)
We need to determine the range of the equation.
Range:
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;
This can be written as![y=2^{1+2(x+3)}+2](/tpl/images/0566/6999/c6221.png)
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;
Solving for y, we get;
Applying the log rule, if f(x) = g(x) then
, then, we get;
Simplifying, we get;
Dividing both sides by
, we have;
Subtracting 7 from both sides of the equation, we have;
Dividing both sides by 2, we get;
Let us find the positive values for logs.
Thus, we have,;
The function domain is![x2](/tpl/images/0566/6999/b2810.png)
By combining the intervals, the range becomes![y2](/tpl/images/0566/6999/a026c.png)
Hence, the range of the equation is![y2](/tpl/images/0566/6999/a026c.png)
Ответ:
1in. = 6ft
Step-by-step explanation:
45/7.5 (or 7 1/2) = 6. please mark brainliest. i would really appreciate it :)