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Popular >

y=(x+3)/(4-sqrt(x^2-9))

Solution

y = \frac{x + 3}{4 - x ^{2} - 9}

Solution

Domain : x < - 5 or - 5 < x \leq - 3 or 3 \leq x < 5 or x > 5

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

X Intercepts : (- 3, 0)

Asymptotes : Vertical x = - 5, x = 5, Horizontal y = - 1, y = 1

Extreme Points : Maximum (- 3, 0), Minimum (3, \frac{3}{2})

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{x + 3}{4 - x ^{2} - 9} : x < - 5 or - 5 < x \leq - 3 or 3 \leq x < 5 or x > 5

Range of

\frac{x + 3}{4 - x ^{2} - 9} : f (x) \leq 0 or f (x) > 1

Axis interception points of

\frac{x + 3}{4 - x ^{2} - 9} :

X Intercepts

: (- 3, 0)

Asymptotes of

\frac{x + 3}{4 - x ^{2} - 9} :

Vertical

: x = - 5, x = 5,

Horizontal

: y = - 1, y = 1

Extreme Points of

\frac{x + 3}{4 - x ^{2} - 9} :

Maximum

(- 3, 0),

Minimum

(3, \frac{3}{2})

Popular Examples

f (x) = \frac{x}{7}

f(x)=sqrt((1+x^2))

f (x) = (1 + x^{2})

f(x)=\sqrt[4]{x+9}

y= 1/(x-1)+sqrt(x+1)

y = \frac{1}{x - 1} + x + 1

f(x)=sqrt(1+e^x)

f (x) = 1 + e^{x}

Frequently Asked Questions (FAQ)

What is the y=(x+3)/(4-sqrt(x^2-9)) ?
The y=(x+3)/(4-sqrt(x^2-9)) is