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If $f(x)=-3 x+9,$ find $\left(\text { a) } f^{-1}(2), \text { (b) } f^{-1}(5)\right.$

(a) $7 / 3$(b) $4 / 3$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 1

Inverse Functions

Missouri State University

Idaho State University

Lectures

00:51

If $f(x)=3 x^{4}-5 x^{2}+9…

01:09

If $f(x)=2 x-5,$ find $(a)…

03:05

If $f(x)=\frac{2 x-3}{3 x+…

01:20

$$f(x)=\frac{3 x}{x^{2}+9}…

01:14

Find $f^{\prime}(x)$.$…

So if we want to find FM bursts of two and F members of five, what we could do is we could just say okay, set this equal to to set the secret of five and then solve for X. But since we have to do this twice, what we can do instead is just solve for what the inverse is and then plug these values in, especially since we know these are going to be defined for all numbers. So let's go ahead and do that and then we just switch. Um, so we'll be exes to negative three y plus nine. And then we just want to get why by itself. So we subtract nine to be experienced in, and then we divide by negative three. That's a good a y or f inverse of X, right? Uh, and then I'm just gonna switch these around with that negative. It would be nine minus X over three so that we just go and plug to into here. So that would be nine minus 2/3, which would be seven third. So that would be f inverse of two. And then down here would be nine minus 5/3, which would be four thirds. And that would be F members of five

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