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Popular >

g(x)=((x+5)/(x^2+2))^2

Solution

g (x) = (\frac{x + 5}{x ^{2} + 2})^{2}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{26 + 15 3}{8}

X Intercepts : (- 5, 0), Y Intercepts : (0, \frac{25}{4})

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 5 - 33, \frac{26 - 15 3}{8}), Minimum (- 5, 0), Maximum (33 - 5, \frac{26 + 15 3}{8})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{26 + 15 3}{8}]

Solution steps

Domain of

(\frac{x + 5}{x ^{2} + 2})^{2} : - \infty < x < \infty

Range of

(\frac{x + 5}{x ^{2} + 2})^{2} : 0 < f (x) \leq \frac{26 + 15 3}{8}

Axis interception points of

(\frac{x + 5}{x ^{2} + 2})^{2} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, \frac{25}{4})

Asymptotes of

(\frac{x + 5}{x ^{2} + 2})^{2} :

Horizontal

: y = 0

Extreme Points of

(\frac{x + 5}{x ^{2} + 2})^{2} :

Maximum

(- 5 - 33, \frac{26 - 15 3}{8}),

Minimum

(- 5, 0),

Maximum

(33 - 5, \frac{26 + 15 3}{8})

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f (x) = - 2 x^{3} + 5 x^{2}

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

Frequently Asked Questions (FAQ)

What is the g(x)=((x+5)/(x^2+2))^2 ?
The g(x)=((x+5)/(x^2+2))^2 is