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Popular >

f(x)= 2/(x^2+3x-10)

Solution

f (x) = \frac{2}{x ^{2} + 3 x - 10}

Solution

Domain : x < - 5 or - 5 < x < 2 or x > 2

Range : f (x) \leq - \frac{8}{49} or f (x) > 0

Y Intercepts : (0, - \frac{1}{5})

Asymptotes : Vertical x = - 5, x = 2, Horizontal y = 0

Extreme Points : Maximum (- \frac{3}{2}, - \frac{8}{49})

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, 2) \cup (2, \infty)

Range : (- \infty, - \frac{8}{49}] \cup (0, \infty)

Solution steps

Domain of

\frac{2}{x ^{2} + 3 x - 10} : x < - 5 or - 5 < x < 2 or x > 2

Range of

\frac{2}{x ^{2} + 3 x - 10} : f (x) \leq - \frac{8}{49} or f (x) > 0

Axis interception points of

\frac{2}{x ^{2} + 3 x - 10} :

Y Intercepts

: (0, - \frac{1}{5})

Asymptotes of

\frac{2}{x ^{2} + 3 x - 10} :

Vertical

: x = - 5, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{2}{x ^{2} + 3 x - 10} :

Maximum

(- \frac{3}{2}, - \frac{8}{49})

Popular Examples

y=sqrt(1-(x^2)/4)

y = 1 - \frac{x ^{2}}{4}

y=3x^3+2x^2-2x+7

y = 3 x^{3} + 2 x^{2} - 2 x + 7

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

y = ln (x^{2} + a)

f(x)=(-3)/(x-2)

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

Frequently Asked Questions (FAQ)

What is the f(x)= 2/(x^2+3x-10) ?
The f(x)= 2/(x^2+3x-10) is