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Popular >

f(x)=((4x-5)/(2x+9))^3

Solution

f (x) = (\frac{4 x - 5}{2 x + 9})^{3}

Solution

Domain : x < - \frac{9}{2} or x > - \frac{9}{2}

Range : f (x) < 8 or f (x) > 8

X Intercepts : (\frac{5}{4}, 0), Y Intercepts : (0, - \frac{125}{729})

Asymptotes : Vertical x = - \frac{9}{2}, Horizontal y = 8

Extreme Points : Saddle (\frac{5}{4}, 0)

+1

Interval Notation

Domain : (- \infty, - \frac{9}{2}) \cup (- \frac{9}{2}, \infty)

Range : (- \infty, 8) \cup (8, \infty)

Solution steps

Domain of

(\frac{4 x - 5}{2 x + 9})^{3} : x < - \frac{9}{2} or x > - \frac{9}{2}

Range of

(\frac{4 x - 5}{2 x + 9})^{3} : f (x) < 8 or f (x) > 8

Axis interception points of

(\frac{4 x - 5}{2 x + 9})^{3} :

X Intercepts

: (\frac{5}{4}, 0),

Y Intercepts

: (0, - \frac{125}{729})

Asymptotes of

(\frac{4 x - 5}{2 x + 9})^{3} :

Vertical

: x = - \frac{9}{2},

Horizontal

: y = 8

Extreme Points of

(\frac{4 x - 5}{2 x + 9})^{3} :

Saddle

(\frac{5}{4}, 0)

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Frequently Asked Questions (FAQ)

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