Provide an appropriate response.Why does a linear function always have an inverse?

What will be an ideal response?


Answers will vary. One possibility: actually, a linear function does not always have an inverse. Any horizontal line,  is a linear function; but it will obviously fail the horizontal line test (since the horizontal line  will intersect the graph an infinite number of times). However, every other linear function always passes the horizontal line test. Therefore, any such linear function is one-to-one and thus has an inverse.

Mathematics

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Solve the initial value problem for y as a function of x.(x2 + 36) = 1, y(6) = 0

A. y =  sin-1  - 
B. y =  tan-1 
C. y =  - 1
D. y =  tan-1  - 

Mathematics

Find R2 if RT = 91 Kê and R1 = 47 Kê.


a. 138 Kê
b. 94 Kê
c. 64 Kê
d. 54 Kê
e. 44 Kê

Mathematics

In order to be certified, an EMT trainee (EMT stands for "emergency medical technician") must pass a written examination. A study of 76 trainees is conducted to assess the effectiveness of exam-preparation seminars in reducing the failure rate. The data are summarized below.  0 seminars attended 1 seminar attended 2 seminars attended Total Passed exam 5 14 19 38 Failed exam 8 15 15 38 Total 13 29 34 76 Find the probability that the trainee attended one seminar and passed the exam.

A.
B.
C.
D.
E.

Mathematics

Solve Approximate the result to three decimal places.

a.
b.
c.
d.

Mathematics