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Popular >

y=(sqrt(2x+14))/(x^2-49)

Solution

y = \frac{2 x + 14}{x ^{2} - 49}

Solution

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

Range : f (x) \leq - \frac{3 3}{28 7} or f (x) > 0

Y Intercepts : (0, - \frac{2}{7 7})

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

Extreme Points : Maximum (- \frac{7}{3}, - \frac{3 3}{28 7})

+1

Interval Notation

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

Range : (- \infty, - \frac{3 3}{28 7}] \cup (0, \infty)

Solution steps

Domain of

\frac{2 x + 14}{x ^{2} - 49} : - 7 < x < 7 or x > 7

Range of

\frac{2 x + 14}{x ^{2} - 49} : f (x) \leq - \frac{3 3}{28 7} or f (x) > 0

Axis interception points of

\frac{2 x + 14}{x ^{2} - 49} :

Y Intercepts

: (0, - \frac{2}{7 7})

Asymptotes of

\frac{2 x + 14}{x ^{2} - 49} :

Vertical

: x = - 7, x = 7,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 14}{x ^{2} - 49} :

Maximum

(- \frac{7}{3}, - \frac{3 3}{28 7})

Popular Examples

f(x)=2x^3+3x^2-7x

f (x) = 2 x^{3} + 3 x^{2} - 7 x

y = - 2 x^{2} + 8 x + 10

f(x)=(ln(x)+1)/(ln(x)-1)

f (x) = \frac{ln ( x ) + 1}{ln ( x ) - 1}

y=-5x^3+x^2+x-7

y = - 5 x^{3} + x^{2} + x - 7

F(X)=(12)/(X^2-25)-3

F (X) = \frac{12}{X ^{2} - 25} - 3

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