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Popular Functions >

f(x)= 1/(x^2+2x-35)

Solution

f (x) = \frac{1}{x ^{2} + 2 x - 35}

Solution

Domain : x < - 7 or - 7 < x < 5 or x > 5

Range : f (x) \leq - \frac{1}{36} or f (x) > 0

Y Intercepts : (0, - \frac{1}{35})

Asymptotes : Vertical x = - 7, x = 5, Horizontal y = 0

Extreme Points : Maximum (- 1, - \frac{1}{36})

+1

Interval Notation

Domain : (- \infty, - 7) \cup (- 7, 5) \cup (5, \infty)

Range : (- \infty, - \frac{1}{36}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{x ^{2} + 2 x - 35} : x < - 7 or - 7 < x < 5 or x > 5

Range of

\frac{1}{x ^{2} + 2 x - 35} : f (x) \leq - \frac{1}{36} or f (x) > 0

Axis interception points of

\frac{1}{x ^{2} + 2 x - 35} :

Y Intercepts

: (0, - \frac{1}{35})

Asymptotes of

\frac{1}{x ^{2} + 2 x - 35} :

Vertical

: x = - 7, x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2} + 2 x - 35} :

Maximum

(- 1, - \frac{1}{36})

Graph

Popular Examples

f(x)=\sqrt[x]{3^{x+6}}-\sqrt[x-1]{3^x}

f(x)= 2/(e^x-e^{-x)}

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

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(x^2+2x-35) ?
The f(x)= 1/(x^2+2x-35) is