CPM Homework Help : PC3 Problem 8-49

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8-49.

Write the inverse equation of each function below. Use correct notation.

$f ( x ) = \sqrt [ 3 ] { 2 x - 1 }$
Step (a):
$x=\sqrt[3]{2y-1}$

$g ( x ) = \frac { 1 } { 2 } ( x - 3 ) ^ { 2 } + 1$
Hint (b):
Since the original function is a parabola with a vertex at $\left(3, 1\right)$ , restrict the domain to make the function invertible.

$h ( x ) = \frac { x + 3 } { 2 x }$
Step 1 (c):
$x=\frac{y+3}{2y}$
Step 2 (c):
$2yx=y+3$

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