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lord [1]
1 year ago
10

2. Graph the inverse of the function, then determine if the inverse is a function.

Mathematics
1 answer:
charle [14.2K]1 year ago
5 0

The inverse of the function f(x)= x^2 is a function.

<h3>The graph of the inverse</h3>

The equation of the function is

f(x)= x^2

Rewrite as:

y = x^2

Swap x and y

x = y^2

Make y the subject

y = \sqrt x

Rewrite as:

f^{-1}(x) = \sqrt x

So, the inverse of f(x)= x^2 is f^{-1}(x) = \sqrt x

See attachment for the graph

<h3>Is the inverse a function?</h3>

The inverse is a function.

This is so because it passes the vertical line test

Read more about inverse functions at:

brainly.com/question/2883051

#SPJ1

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Find the value of n such that x2-10x+n is a perfect square trinomial.
mihalych1998 [28]
The answer is the last option (Option D), which is:

 D. 25

 The explanation is shown below:

 1. You have that:

 (a ± b)^2=a^2 <span>± 2ab + b^2

 2. The expression given in the problem is:

 </span><span>x^2-10x+n

 Where x^2=a and 2ab=10x

 2b=10
 b=10/2
 b=5

 3. Therefore, you have:

 b^2=5
 b^2=25

 b^2=n
 n=25</span>
7 0
3 years ago
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solniwko [45]
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ivann1987 [24]

Answer:i cant see the hole question

Step-by-step explanation:

5 0
3 years ago
Urgent please help..
Strike441 [17]

Answer:

b = 7√3

Step-by-step explanation:

This 30°- 60°- 90° triangle has the proportions:

side opposite of the 30° angle = x

side opposite of the 60° angle = x√3

side opposite of the 90° angle = 2x

____________________________

Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.

Since x = 7, x√3 = 7√3, and therefore

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(x+2)^2+(x-3)^2-2x^2)
garri49 [273]

Answer:

<u>13 - 2x </u>

Step-by-step explanation:

(x +2)² + (x - 3)² - 2x²

<em>Expand.</em>

(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²

x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²

<em>Bring all the like terms together then simply.</em>

x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9

2x² - 2x² + 4x - 6x + 13

= <u>13 - 2x</u> (or <u>-2x + 13</u> )

4 0
3 years ago
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