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Popular >

f(x)=(5-x)^{2/3}(1+x)^{1/3}

Solution

f (x) = (5 - x)^{\frac{2}{3}} (1 + x)^{\frac{1}{3}}

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (5, 0), (- 1, 0), Y Intercepts : (0, 5^{\frac{2}{3}})

Asymptotes : None

Extreme Points : Maximum (1, 2 \cdot 2^{\frac{2}{3}}), Minimum (5, 0)

+1

Solution steps

Domain of

(5 - x)^{\frac{2}{3}} (1 + x)^{\frac{1}{3}} : - \infty < x < \infty

Range of

(5 - x)^{\frac{2}{3}} (1 + x)^{\frac{1}{3}} : - \infty < f (x) < \infty

Axis interception points of

(5 - x)^{\frac{2}{3}} (1 + x)^{\frac{1}{3}} :

X Intercepts

: (5, 0), (- 1, 0),

Y Intercepts

: (0, 5^{\frac{2}{3}})

Asymptotes of

(5 - x)^{\frac{2}{3}} (1 + x)^{\frac{1}{3}} :

None

Extreme Points of

(5 - x)^{\frac{2}{3}} (1 + x)^{\frac{1}{3}} :

Maximum

(1, 2 \cdot 2^{\frac{2}{3}}),

Minimum

(5, 0)

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f(x)=(x^2-81)/(x-9)

f (x) = \frac{x ^{2} - 81}{x - 9}

Frequently Asked Questions (FAQ)

What is the f(x)=(5-x)^{2/3}(1+x)^{1/3} ?
The f(x)=(5-x)^{2/3}(1+x)^{1/3} is