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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)

What is the f(x)=(12)/(x^2-25)-3 ?
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