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Popular >

y=(5x+3)^3(2x+1)^{-4}

Solution

y = (5 x + 3)^{3} (2 x + 1)^{- 4}

Solution

Domain : x < - \frac{1}{2} or x > - \frac{1}{2}

Range : f (x) \geq - \frac{16875}{2048}

X Intercepts : (- \frac{3}{5}, 0), Y Intercepts : (0, 27)

Asymptotes : Vertical x = - \frac{1}{2}, Horizontal y = 0

Extreme Points : Minimum (- \frac{9}{10}, - \frac{16875}{2048}), Saddle (- \frac{3}{5}, 0)

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Interval Notation

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

Range : [- \frac{16875}{2048}, \infty)

Solution steps

Domain of

(5 x + 3)^{3} (2 x + 1)^{- 4} : x < - \frac{1}{2} or x > - \frac{1}{2}

Range of

(5 x + 3)^{3} (2 x + 1)^{- 4} : f (x) \geq - \frac{16875}{2048}

Axis interception points of

(5 x + 3)^{3} (2 x + 1)^{- 4} :

X Intercepts

: (- \frac{3}{5}, 0),

Y Intercepts

: (0, 27)

Asymptotes of

(5 x + 3)^{3} (2 x + 1)^{- 4} :

Vertical

: x = - \frac{1}{2},

Horizontal

: y = 0

Extreme Points of

(5 x + 3)^{3} (2 x + 1)^{- 4} :

Minimum

(- \frac{9}{10}, - \frac{16875}{2048}),

Saddle

(- \frac{3}{5}, 0)

Popular Examples

y = 33 - x + 19

f(n)=3.2^n-4.2^n

f (n) = 3. 2^{n} - 4. 2^{n}

f(t)=18t-1.5t^2-t^3

f (t) = 18 t - 1.5 t^{2} - t^{3}

f (2) = - 3 x + 8

y=38x+log_{10}(2x^2+1)

y = 38 x + lo g_{10} (2 x^{2} + 1)

Frequently Asked Questions (FAQ)

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