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If the function is one-to-one, find its inverse. …

01:09

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50

Problem 18 Easy Difficulty

If the function is one-to-one, find its inverse.
$f(x)=4 x^{2}-1$

Answer

not one - one because it is a parabola
each y can have two $x$
no inverse.

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Algebra

Beginning and Intermediate Algebra

Chapter 12

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Section 1

Inverse Functions

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Problem 1

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Problem 7

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Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

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Video Transcript

here we have F of X is equal to four x squared minus one. And so we want to see if this is 1 to 1. But as soon as we look at it and we see the square, we know that this is a parabola. And we know that travelers air not 1 to 1 because, um, so we don't say not 1 to 1 because it is a parabola. Because we know that in a parabola each why can have to exit. Okay. And so because of this is not 1 to 1, and therefore it doesn't have an members, and so that is going to be our answer.

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Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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