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Popular >

r(x)=(x^2+5x)/(25-x^2)

Solution

r (x) = \frac{x ^{2} + 5 x}{25 - x ^{2}}

Solution

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

Range : f (x) < - 1 or - 1 < f (x) < - \frac{1}{2} or f (x) > - \frac{1}{2}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 5, Horizontal y = - 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - 1) \cup (- 1, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Domain of

\frac{x ^{2} + 5 x}{25 - x ^{2}} : x < - 5 or - 5 < x < 5 or x > 5

Range of

\frac{x ^{2} + 5 x}{25 - x ^{2}} : f (x) < - 1 or - 1 < f (x) < - \frac{1}{2} or f (x) > - \frac{1}{2}

Axis interception points of

\frac{x ^{2} + 5 x}{25 - x ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2} + 5 x}{25 - x ^{2}} :

Vertical

: x = 5,

Horizontal

: y = - 1

Extreme Points of

\frac{x ^{2} + 5 x}{25 - x ^{2}} :

None

Popular Examples

f(x)=sin^2(x)cos^2(x)dx

f (x) = sin^{2} (x) cos^{2} (x) d x

{x+4:-3<= x<1,9:x=1,-x+3:x>1}

{x + 4 : - 3 \leq x < 1, 9 : x = 1, - x + 3 : x > 1}

f(x)=sqrt(x^2+2x-15)

f (x) = x^{2} + 2 x - 15

f(x)=0.3x^2-60x+6000

f (x) = 0.3 x^{2} - 60 x + 6000

f(x)=(sqrt(2x-5))/(x^2-5x+4)

f (x) = \frac{2 x - 5}{x ^{2} - 5 x + 4}

Frequently Asked Questions (FAQ)

What is the r(x)=(x^2+5x)/(25-x^2) ?
The r(x)=(x^2+5x)/(25-x^2) is