Name: SAT Math Help & School Math Mastery
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#37014

transformations

functions

hard

90 sec

The graph of function $g$ is defined by $g (x) = \frac{1}{x + 3} + 7$ . If the graph of $y = g (x)$ is produced by translating the graph of $y = f (x)$ 3 units to the left and 7 units up, which equation defines function $f$ ?

A.

$f (x) = \frac{1}{x}$

B.

$f (x) = \frac{1}{x + 6} + 14$

C.

$f (x) = \frac{1}{x - 3}$

D.

$f (x) = \frac{1}{x - 6} - 14$