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rewona [7]
4 years ago
13

What is the inverse of the function

id="TexFormula1" title="a(x) = \frac{1}{x} - 2" alt="a(x) = \frac{1}{x} - 2" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Verdich [7]4 years ago
6 0

a(x) = 1/x - 2

or

y = 1/x - 2

Switch x and y to find the inverse function

x = 1/y - 2

1/y = x + 2

y = 1 / (x + 2)


Answer

a^-1(x) = 1 / (x + 2)

larisa [96]4 years ago
4 0

To find the inverse, swap the x's and y's and solve for y. <em>Remember that a(x) represents y</em>

y = \frac{1}{x} - 2 <em>given</em>

x = \frac{1}{y} - 2 <em>x's and y's swapped</em>

x + 2 = \frac{1}{y} <em>added 2 to both sides</em>

y(x + 2) = 1 <em>multiplied y on both sides</em>

y = \frac{1}{x + 2} divided (x + 2) on both sides

Answer: a^{-1} (x) = \frac{1}{x + 2}

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Answer:

Step-by-step explanation:

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Let us represent:

The age of :

Tanisha = a

Elicia = b

Ajua = c

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua

a = 2c

c = 2/a

Elicia is two years older than Tanisha.l

b = a + 2

The sum of all their ages is 37.

a + b + c = 37

We substitute

a + a + 2 + 2/a = 37

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Use variable expressions and calculate the age of each girl

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3 years ago
Determine the central angle of a sector which has a radius of 8 inches and an area of 78.2 square inches
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Step-by-step explanation:

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3 years ago
What is the solution?. 1/2x2 – x + 5 = 0
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1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
x= \frac{-b\pm\sqrt{b^2-4ac}}{2a}; where a = 1, b = -2 and c = 10
x=\frac{-(-2)\pm\sqrt{(-2)^2-(4\times1\times10)}}{2\times1}\\=\frac{2\pm\sqrt{4-40}}{2}\\=\frac{2\pm\sqrt{-36}}{2}\\=\frac{2\pm6i}{2}\\=1\pm3i
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4 years ago
Help, i need you to find the area
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5 0
3 years ago
Read 2 more answers
3 1/8 ( 2/3 +2 2/3 (1 1/4 − 6/5 ))
pentagon [3]

The answer would be -9/40

Here’s how you solve it!

Use PEMDAS through out the whole process

Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))

Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))

Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:

3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)

Then use the greatest common divisor and reduce it by 2

3✖️1/8✖️(2/3➖2/3✖️19/10)

Then reduce again

3✖️1/8✖️(2/3➖1/3✖️19/5)

Then multiply the two factors so it now looks like this:

3✖️1/8✖️(2/3➖19/15)

Now subtract what’s in the parentheses so you get this:

3✖️1/8✖️(➖3/5)

Since a positive multiplied by a negative equals a negative it will now look like this:

➖3✖️1/8✖️3/5

Now all you have to do left is calculate the product to get your answer:

-9/40


Hope this helps! :3

7 0
4 years ago
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