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In $3-10,$ find each of the function values when $\mathrm{f}(x)=4 x$$$\mathrm{f}(\mathrm{I}(3))$$

12

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 8

Inverse Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

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01:32

In mathematics, the absolu…

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In $3-10,$ find each of th…

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Find each value if $f(x)=3…

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Okay, so here we have a function that is after Lex equals four X. And what we're trying to find is S of I of three, where I is the inverse of FX. Basically, just looking at this, we can kind of try to derive the answer. So we're plugging the inverse back into the original function, which basically means that we're gonna end up with whatever is inside there. So three. But you know what? Let's come to try it out and see if that works. So it's find the inverse for So let's kind of write this as for equals or why equals four X and then we're gonna switch the X and the y so we can start going about solving for the inverse Isolate the wine out to get the inverse, so divide both sides by four. And here we have the inverse, which is why equals Oops, sorry. That should be Why equals X over for that? There is are inverse function. No, we can plug use that function and plug it in here. So I have three equals and then we can sub in the three. So we're gonna get 3/4 now. We want to look at us of 3/4 because whatever we get from here is going to go into I sub sub in for this so f of 3/4. Let's go back to this original equation that's gonna give us for Times X, which in this case is going to be three over for it and the's force cancel out. So we're left with just three as our final answer. That is correct.

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