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Let $f(x)=2^{x} .$ We will see in the next section that this function is one-toone. Find each value, always working part (a) before part $(b)$.
(a) $f(-2)$(b) $f^{-1}\left(\frac{1}{4}\right)$
a. $$\frac{1}{4}$$b. $$[-2=x]$$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 1
Inverse Functions
Functions
Exponential and Logarithmic Functions
Baylor University
Idaho State University
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but he's apart and is asking what its effort. Negative, too. So we're plugging in that negative doing two X So I think negative two is going to be equal to to to the negative, too. So whenever we have a negative in our exponents, that means that we're gonna do one over to square, which is 14 Okay, Now the inverse function it is asking. So what is the inverse function of 1/4? So whenever we do the members, we know that we did switch the X and A y. So instead of plugging 1/4 into X with a plug it into Why, Okay, so we're gonna have 1/4 this equal to To to the X Now, do what power gives us 1/4. We know that from part A. It's negative, too. And so those are going to be your answers
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