Type the correct answer in the box. Use numerals instead of words.
1 answer:
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Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.
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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.
The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.
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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.
Answer:
Option b) is correct.
The completed factor of given expression is
Step-by-step explanation:
Given expression is
To find the completed factor for the given expression:
:
Taking the common number "2" outside to the above expression we get
Now rewritting the above expression as below
(since 16 can be written as the number 2 to the power of 4)
The above expression is of the form
Here and
Therefore it becomes
The above expression is of the form
Here and
Therefore it becomes
Therefore
Option b) is correct.
The completed factor of given expression is