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Popular >

f(x)= 1/((x-3)(x-5))

Solution

f (x) = \frac{1}{( x - 3 ) ( x - 5 )}

Solution

Domain : x < 3 or 3 < x < 5 or x > 5

Range : f (x) \leq - 1 or f (x) > 0

Y Intercepts : (0, \frac{1}{15})

Asymptotes : Vertical x = 3, x = 5, Horizontal y = 0

Extreme Points : Maximum (4, - 1)

+1

Interval Notation

Domain : (- \infty, 3) \cup (3, 5) \cup (5, \infty)

Range : (- \infty, - 1] \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{( x - 3 ) ( x - 5 )} : f (x) \leq - 1 or f (x) > 0

Axis interception points of

\frac{1}{( x - 3 ) ( x - 5 )} :

Y Intercepts

: (0, \frac{1}{15})

Asymptotes of

\frac{1}{( x - 3 ) ( x - 5 )} :

Vertical

: x = 3, x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{1}{( x - 3 ) ( x - 5 )} :

Maximum

(4, - 1)

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Frequently Asked Questions (FAQ)

What is the f(x)= 1/((x-3)(x-5)) ?
The f(x)= 1/((x-3)(x-5)) is