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Popular >

f(x)= 1/(ln(x^2+8x+15))

Solution

f (x) = \frac{1}{ln ( x ^{2} + 8 x + 15 )}

Solution

Domain : x < - 4 - 2 or - 4 - 2 < x < - 5 or - 3 < x < - 4 + 2 or x > - 4 + 2

Range : f (x) < 0 or f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4 - 2) \cup (- 4 - 2, - 5) \cup (- 3, - 4 + 2) \cup (- 4 + 2, \infty)

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

Solution steps

Domain of

\frac{1}{ln ( x ^{2} + 8 x + 15 )} : x < - 4 - 2 or - 4 - 2 < x < - 5 or - 3 < x < - 4 + 2 or x > - 4 + 2

Range of

\frac{1}{ln ( x ^{2} + 8 x + 15 )} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{ln ( x ^{2} + 8 x + 15 )} :

Y Intercepts

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

Asymptotes of

\frac{1}{ln ( x ^{2} + 8 x + 15 )} :

Horizontal

: y = 0

Extreme Points of

\frac{1}{ln ( x ^{2} + 8 x + 15 )} :

None

Popular Examples

f (x) = 2 ∣ x + 1 ∣

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f(x)=(2^xx)/(ln(2))-(2^x)/(ln^2(2))

f (x) = \frac{2 ^{x} x}{ln ( 2 )} - \frac{2 ^{x}}{ln ^{2} ( 2 )}

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y= 1/3 x^{3/2}-x^{1/2}

y = \frac{1}{3} x^{\frac{3}{2}} - x^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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