CPM Homework Help : CALC Problem 6-9

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Home > CALC > Chapter 6 > Lesson 6.1.1 > Problem 6-9

6-9.

Find the inverse, $f^{-1} (x)$ , for the following functions.

$f(x) = 2^x$
Steps (a):
Solve for $x$ : $\operatorname{log}_2y = x$
Then 'switch' the input and the output.
Answer (a):
$f^{−1}(x) =\operatorname{log}_2x$

$f(x) =\operatorname{log}_3 x$
Hint (b):
This is the reverse of part (a).

$f(x) =\operatorname{log}_e x$
Hint (c):
Recall that $e$ is a constant. (It's value is between $2$ and $3$ )
Answer (c):
$f^{−1}(x) = e^x$

$f(x) = 5 · 9^x$
Hint (d):
Be sure to divide both sides by $5$ before you solve for $x$ .

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