Mathematics

Mathematics

Problem

The graph of a polynomial function

y = f(x)

is shown in the diagram. It intersects the

x

-axis at

x = -3

,

x = 1

, and

x = 5

, and intersects the

y

-axis at

y = -15

. Determine the domain of the reciprocal function

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

.

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