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Popular >

f(x)=(9-x^2)^{3/5}

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3 \cdot 3^{\frac{1}{5}}

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, 9^{\frac{3}{5}})

Asymptotes : None

Extreme Points : Maximum (0, 9^{\frac{3}{5}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3 \cdot 3^{\frac{1}{5}}]

Solution steps

Domain of

(9 - x^{2})^{\frac{3}{5}} : - \infty < x < \infty

Range of

(9 - x^{2})^{\frac{3}{5}} : f (x) \leq 3 \cdot 3^{\frac{1}{5}}

Axis interception points of

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

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, 9^{\frac{3}{5}})

Asymptotes of

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

None

Extreme Points of

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

Maximum

(0, 9^{\frac{3}{5}})

Popular Examples

y=sqrt((1-\sqrt{x))/(1+sqrt(x))}

y = \frac{1 - x}{1 + x}

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

y = \frac{5}{2} x + 3

y = \frac{5}{2} x + 4

f(x)=(4-sqrt(x))/(x-16)

f (x) = \frac{4 - x}{x - 16}

Frequently Asked Questions (FAQ)

What is the f(x)=(9-x^2)^{3/5} ?
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