Answer:
<u>Step-by-step explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
<em />
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
Note: 12² + opposite² = 20² → opposite = 16
Note: adjacent² + 5² = 6² → adjacent = √11
Note: adjacent² + 7² = (13√2)² → adjacent = 17
Answer:
<em>The only value that is in the domains of both functions is 0</em>
<em>The range of g(x) is all values less than or equal to 0</em>
Step-by-step explanation:
As the original function is
Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.
Please check the attached <em>figure a</em> for visualizing the graph of .
<u><em>Impact of double transformation:</em></u>
For
must be equal to or greater than zero for
to be defined i.e. -x ≥ 0.
So,
-x ≥ 0 can be written as x≤ 0
So,
Please check the attached figure a for visualizing the graph of .
So, from the above discussion, we can say that
So,
Only two statements are true about the functions f(x) and g(x) are true which are:
<em>The only value that is in the domains of both functions is 0</em>
<em>The range of g(x) is all values less than or equal to 0</em>
<em>Keywords: graph, function</em>
<em>Learn more about graph and function from brainly.com/question/11152594</em>
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