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Popular >

f(x)=(x-5)/(x-3)

Solution

f (x) = \frac{x - 5}{x - 3}

Solution

Domain : x < 3 or x > 3

Range : f (x) < 1 or f (x) > 1

X Intercepts : (5, 0), Y Intercepts : (0, \frac{5}{3})

Asymptotes : Vertical x = 3, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 3) \cup (3, \infty)

Range : (- \infty, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{x - 5}{x - 3} : x < 3 or x > 3

Range of

\frac{x - 5}{x - 3} : f (x) < 1 or f (x) > 1

Axis interception points of

\frac{x - 5}{x - 3} :

X Intercepts

: (5, 0),

Y Intercepts

: (0, \frac{5}{3})

Asymptotes of

\frac{x - 5}{x - 3} :

Vertical

: x = 3,

Horizontal

: y = 1

Extreme Points of

\frac{x - 5}{x - 3} :

None

Popular Examples

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y = 7 - x, 1 \leq x \leq 7

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f (x) = \frac{- x ^{2}}{12 + 2 x + 10}

Frequently Asked Questions (FAQ)

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