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Popular >

f(x)= 1/(4x^2-9)

Solution

f (x) = \frac{1}{4 x ^{2} - 9}

Solution

Domain : x < - \frac{3}{2} or - \frac{3}{2} < x < \frac{3}{2} or x > \frac{3}{2}

Range : f (x) \leq - \frac{1}{9} or f (x) > 0

Y Intercepts : (0, - \frac{1}{9})

Asymptotes : Vertical x = - \frac{3}{2}, x = \frac{3}{2}, Horizontal y = 0

Extreme Points : Maximum (0, - \frac{1}{9})

+1

Interval Notation

Domain : (- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Range : (- \infty, - \frac{1}{9}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{4 x ^{2} - 9} : x < - \frac{3}{2} or - \frac{3}{2} < x < \frac{3}{2} or x > \frac{3}{2}

Range of

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

Axis interception points of

\frac{1}{4 x ^{2} - 9} :

Y Intercepts

: (0, - \frac{1}{9})

Asymptotes of

\frac{1}{4 x ^{2} - 9} :

Vertical

: x = - \frac{3}{2}, x = \frac{3}{2},

Horizontal

: y = 0

Extreme Points of

\frac{1}{4 x ^{2} - 9} :

Maximum

(0, - \frac{1}{9})

Popular Examples

y=(x^4+48)/(24x)

y = \frac{x ^{4} + 48}{24 x}

y = 2 x^{2} + 8 x + 16

f (x) = 8.4 x - 40

f(x)=x^4+2x^3-4x^2-2x+3

f (x) = x^{4} + 2 x^{3} - 4 x^{2} - 2 x + 3

y = (1 - x^{2})^{10}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(4x^2-9) ?
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