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Popular >

f(x)=(3x+12)/(-x^2+16)

Solution

f (x) = \frac{3 x + 12}{- x ^{2} + 16}

Solution

Domain : x < - 4 or - 4 < x < 4 or x > 4

Range : f (x) < 0 or 0 < f (x) < \frac{3}{8} or f (x) > \frac{3}{8}

Y Intercepts : (0, \frac{3}{4})

Asymptotes : Vertical x = 4, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 4) \cup (4, \infty)

Range : (- \infty, 0) \cup (0, \frac{3}{8}) \cup (\frac{3}{8}, \infty)

Solution steps

Domain of

\frac{3 x + 12}{- x ^{2} + 16} : x < - 4 or - 4 < x < 4 or x > 4

Range of

\frac{3 x + 12}{- x ^{2} + 16} : f (x) < 0 or 0 < f (x) < \frac{3}{8} or f (x) > \frac{3}{8}

Axis interception points of

\frac{3 x + 12}{- x ^{2} + 16} :

Y Intercepts

: (0, \frac{3}{4})

Asymptotes of

\frac{3 x + 12}{- x ^{2} + 16} :

Vertical

: x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{3 x + 12}{- x ^{2} + 16} :

None

Popular Examples

f(x)=(sqrt(x-3))/(x+6)

f (x) = \frac{x - 3}{x + 6}

f(x)=(-9x+4)/(5x^2-8)

f (x) = \frac{- 9 x + 4}{5 x ^{2} - 8}

f (x) = 6 x^{2} - 3 x + 2

f(x)=(x^2+x-6)/(x+3)

f (x) = \frac{x ^{2} + x - 6}{x + 3}

f(x)=(3x^2)/(1/2 x^2+1)

f (x) = \frac{3 x ^{2}}{\frac{1}{2} x ^{2} + 1}

Frequently Asked Questions (FAQ)

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