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dexar [7]
3 years ago
11

Explain whether the following statement is true or false.

Mathematics
2 answers:
Lena [83]3 years ago
8 0

Answer:

I believe it is the second one false

Step-by-step explanation:

REY [17]3 years ago
6 0

Answer:

The statement is false because f^{-1} (x) denotes the inverse of function f, whereas \frac{1}{f(x)} is the reciprocal values of f.

<em>(The first answer choice)</em>

Step-by-step explanation:

Well x usually represents y which is why x is in parentheses.

f^{-1}(x) is the inverse of f.

So f is the inverse of x.

The last number is usually what you divide x by.

So it would usually be f(x) over the first number that has the variable. The variable is being subtracted by the last number rather than being multiplied like in normal f(x).

I'd say that the statement is false because f^{-1}(x) is the inverse which means \frac{f(x)}{1}

The function that \frac{1}{f(x)} is describing would be reciprocal.

If you need further assistance don't be afraid to reach out. I hope this helps!

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The coordinates of J' when rotating by 90° counterclockwise will be: J'(3, 1)

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Step-by-step explanation:

Square JKLM with vertices

  • J(1, -3)
  • K(5, 0)
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We have to determine the answer for the image J' of the point (1, -3) when we rotate the point by 90° counterclockwise, we need to switch x and y, make y negative.

In other words, the rule to rotate a point by 90° counterclockwise.

P(x, y) → P'(-y, x)

As we are given that J(1, -3), so the coordinates of J' will be:

J(1, -3) → J'(3, 1)

Therefore, the coordinates of J' when rotating by 90° counterclockwise will be:  J'(3, 1).

When the point is rotated by 90° clockwise, we need to switch x and y, make x negative.

In other words, the rule to rotate a point by 90° clockwise.

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As we are given that J(1, -3), so the coordinates of J' will be:

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Therefore, the coordinates of J' when rotating by 90° clockwise will be:  J'(-3, -1)

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