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Popular >

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

Solution

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

Solution

Domain : x < \frac{- 3 - 13}{2} or \frac{- 3 - 13}{2} < x < \frac{- 3 + 13}{2} or x > \frac{- 3 + 13}{2}

Range : f (x) \leq - \frac{4}{13} or f (x) > 0

Y Intercepts : (0, - 1)

Asymptotes : Vertical x = \frac{- 3 - 13}{2}, x = \frac{- 3 + 13}{2}, Horizontal y = 0

Extreme Points : Maximum (- \frac{3}{2}, - \frac{4}{13})

+1

Interval Notation

Domain : (- \infty, \frac{- 3 - 13}{2}) \cup (\frac{- 3 - 13}{2}, \frac{- 3 + 13}{2}) \cup (\frac{- 3 + 13}{2}, \infty)

Range : (- \infty, - \frac{4}{13}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{x ^{2} + 3 x - 1} : x < \frac{- 3 - 13}{2} or \frac{- 3 - 13}{2} < x < \frac{- 3 + 13}{2} or x > \frac{- 3 + 13}{2}

Range of

\frac{1}{x ^{2} + 3 x - 1} : f (x) \leq - \frac{4}{13} or f (x) > 0

Axis interception points of

\frac{1}{x ^{2} + 3 x - 1} :

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{1}{x ^{2} + 3 x - 1} :

Vertical

: x = \frac{- 3 - 13}{2}, x = \frac{- 3 + 13}{2},

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2} + 3 x - 1} :

Maximum

(- \frac{3}{2}, - \frac{4}{13})

Popular Examples

f(x)=4x^3+3x^2-25x+6

f (x) = 4 x^{3} + 3 x^{2} - 25 x + 6

h(x)=(sqrt(x))/(x^3+1)

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

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

f (x) = 81 x^{2} - 16

solvefor x,w=(2x-7)^{-1}(x+5)solve for

x, w = (2 x - 7)^{- 1} (x + 5)

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(x^2+3x-1) ?
The f(x)= 1/(x^2+3x-1) is