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damaskus [11]
3 years ago
13

Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse fu

nction?
Mathematics
1 answer:
Tems11 [23]3 years ago
3 0

Answer:D

Step-by-step explanation: on edg

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The greatest common factor is 2a
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3. How is the Fundamental Theorem of Algebra true for quadratic polynomials?
myrzilka [38]

Answer:

Step-by-step explanation:

Theorm-The Fundamental Theorem of Algebra: If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.

A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.

As we have seen, factoring a quadratic equation will result in one of three possible situations.

graph 1

The quadratic may have 2 distinct  real roots. This graph crosses the

x-axis in two locations. These  graphs may open upward  or downward.

graph 2

It may appear that the quadratic  has only one real root. But, it  actually has one repeated root.  This graph is tangent to the x-axis  in one location (touching once).

graph 3

The quadratic may have two  non-real complex roots called  a conjugate pair. This graph will  not cross or touch the x-axis, but  it will have two roots.

6 0
3 years ago
Which of the following is a polynomial with roots 3, 5i, and −5i?
jek_recluse [69]
x_{1}=3 \\  \\ x_{2}=5i \\  \\ x_{2}=-5i \\  \\ f(x)=(x-x_{1})(x-x_{2})(x-x_{3})=(x-3)(x-5i)(x+5i)= \\  \\ =(x-3)(x^{2}+25)=x^{3}+25x-3x^{2}-75=x^{3}-3x^{2}+25x-75

==================================
<em />
<em>"Associate with people who are likely to improve you."</em>
6 0
3 years ago
HA<br> 1) Simplify the expression.<br> 9 - 5*4 + 3
AysviL [449]

Answer:

Step-by-step explanation:

9-5*4+3

9-20+3

-11+3

= -8

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3 years ago
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The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi
Eva8 [605]

Answer:

a) <em>Z-score = 0.75</em>

b) <em>Z-score = -32.833</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

<u><em>Step(ii):-</em></u>

<em>      </em>Z = \frac{x-mean}{S.D}<em></em>

<em>     </em>Z = \frac{42-33}{12} = 0.75<em></em>

<u><em>Step(iii):-</em></u>

<em>Given that mean of the Population = 89</em>

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

<em>   </em>Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }<em></em>

<em>     </em>Z = \frac{82-89}{\frac{1}{\sqrt{22} } } =  -32.833<em></em>

<em>Z-score = -32.833</em>

<em></em>

7 0
3 years ago
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