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vesna_86 [32]
3 years ago
13

Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inve

rse function? x ≥ 0; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 0; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot
Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0

9514 1404 393

Answer:

  (b)  x ≥ 1; f⁻¹(x) = 1+√(x+1)

Step-by-step explanation:

We can find the inverse function by solving for y:

  x = f(y)

  x = y² -2y

  x +1 = y² -2y +1

  x +1 = (y -1)²

  √(x +1) = y -1

  1 +√(x +1) = y

So, the inverse function is ...

  f^{-1}(x)=1+\sqrt{x+1}

For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.

The domain restriction is x ≥ 1.

The inverse function is f⁻¹(x) = 1+√(x+1)

matrenka [14]3 years ago
4 0

Answer:

D x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation:

Apply this method when doing problems similar to this one.

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When θ = 28°:

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3 0
3 years ago
Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
kenny6666 [7]

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

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Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

8 0
2 years ago
Read 2 more answers
The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33​-foot-wide path. Let x denote
tiny-mole [99]

Answer:

A(x) = 4x^2 + 330x + 4356

Step-by-step explanation:

width of park: x

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length + path width = 4x + 66

area = (x + 66)(4x + 66)

area = 4x^2 + 66x + 264x + 4356

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A(x) = 4x^2 + 330x + 4356

7 0
2 years ago
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Step-by-step explanation:

4 0
3 years ago
52/10 Convert to mixed numbers
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Answer:

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Step-by-step explanation:

The number of times 10 can go in 52 will be the whole number

5 \times \frac{?}{?}

10 will go in 52 5times which will be 50 remainder two.The remainder will be the numerator

5 \times \frac{2}{?}

The denominator will be the original denominator (the number below)

5 \times \frac{2}{10}

5 0
1 year ago
Read 2 more answers
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