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vlabodo [156]
3 years ago
13

Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
5 0
<h2>Answer:</h2>

The range of  φ^−1(x) is: (-5,11)

<h2>Step-by-step explanation:</h2>

We know that for any given function f(x) with the given domain and range.

If the function is invertible then the domain and range of the function and it's inverse get's interchanged.

i.e. the domain of the function is the range of it's inverse and the range of the function is the domain of it's inverse.

Here we have a invertible function φ(x) such that it has the domain (−5,11) and the range (−12,1).

This means that the range of it's inverse is: (-5,11)

Rom4ik [11]3 years ago
3 0

Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

Hence, Range of \phi^{-1} is (−5,11)



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The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

<h3>What is a straight line?</h3>

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The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\

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\rm m =\dfrac{3-0}{0-(-6)}\\

m = 3/6 = 1/2

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y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

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brainly.com/question/3493733

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5 0
2 years ago
What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?
Brrunno [24]

Answer:

The simple interest is $300.

Step-by-step explanation:

<em>Find the Interest amount.</em>

I: Interest ?

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R: Rate 6% = .06

T: Time Period (in years) 2 Years

<em>Convert into equation to find Simple Interest</em>

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<em />

4 0
3 years ago
Read 2 more answers
Write an algebraic expression for each word expression. Then evaluate the expression for these values of the variable : 1/2,4,an
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Answer:

1)p/4,2,1,1.625   2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

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6.5/4=1.625

2) x+1

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7 0
3 years ago
The perimeter of an airplane ticket is 32 centimeters. The area is 60 square centimeters. What are the dimensions of the ticket
victus00 [196]
We model the ticket as a rectangle.
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 We have the following system of equations:
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 Answer:
 the dimensions of the ticket are:
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monitta

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Take a fixed gap and draw 180 degree arc of equal size on each side.

The compass size should be the same for the whole process, be careful.

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6 0
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