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Determine whether or not the function determined by the given equation is one-to-one.$$f(x)=2 x-3$$

Yes

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 1

Inverse Functions

Oregon State University

McMaster University

Harvey Mudd College

Idaho State University

Lectures

01:01

Determine whether the func…

00:49

00:35

02:41

Determine whether each fun…

02:38

Determine whether or not t…

00:34

One-to-One Function? Deter…

So for us to show two X minus three is one toe one. What we need to do is determine whether or not f of A is able to f A B will always imply that a and B or the same number so we can just go ahead and plug in. That's so I'll just kind of break this down here so f of a is equal to F B. So on the left side, this is just gonna be to a minus three on the right side, that's gonna b two B minus three. And then we just start trying to solve so we can add three to each side. Those threes cancel out ever going to be left with two a is equal to to be. Then we can go ahead and divide two on each side, The twos cancel and then we end up with a is equal to be so you very well proof box and the smiling face. Because you've shown that this function is one toe one

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