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Popular >

f(X)=(12)/(X^2-25)-3

Solution

f (X) = \frac{12}{X ^{2} - 25} - 3

Solution

Domain : X < - 5 or - 5 < X < 5 or X > 5

Range : f (X) \leq - \frac{87}{25} or f (X) > - 3

X Intercepts : (29, 0), (- 29, 0), Y Intercepts : (0, - \frac{87}{25})

Asymptotes : Vertical X = - 5, X = 5, Horizontal y = - 3

Extreme Points : Maximum (0, - \frac{87}{25})

+1

Interval Notation

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

Range : (- \infty, - \frac{87}{25}] \cup (- 3, \infty)

Solution steps

Domain of

\frac{12}{X ^{2} - 25} - 3 : X < - 5 or - 5 < X < 5 or X > 5

Range of

\frac{12}{X ^{2} - 25} - 3 : f (X) \leq - \frac{87}{25} or f (X) > - 3

Axis interception points of

\frac{12}{X ^{2} - 25} - 3 :

X Intercepts

: (29, 0), (- 29, 0),

Y Intercepts

: (0, - \frac{87}{25})

Asymptotes of

\frac{12}{X ^{2} - 25} - 3 :

Vertical

: X = - 5, X = 5,

Horizontal

: y = - 3

Extreme Points of

\frac{12}{X ^{2} - 25} - 3 :

Maximum

(0, - \frac{87}{25})

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Frequently Asked Questions (FAQ)

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