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Popular >

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

Solution

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

Solution

Domain : - 1 < x < 5

Range : f (x) \geq \frac{2}{3}

Y Intercepts : (0, \frac{2}{5})

Asymptotes : Vertical x = - 1, x = 5

Extreme Points : Minimum (2, \frac{2}{3})

+1

Interval Notation

Domain : (- 1, 5)

Range : [\frac{2}{3}, \infty)

Solution steps

Domain of

\frac{2}{- x ^{2} + 4 x + 5} : - 1 < x < 5

Range of

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

Axis interception points of

\frac{2}{- x ^{2} + 4 x + 5} :

Y Intercepts

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

Asymptotes of

\frac{2}{- x ^{2} + 4 x + 5} :

Vertical

: x = - 1, x = 5

Extreme Points of

\frac{2}{- x ^{2} + 4 x + 5} :

Minimum

(2, \frac{2}{3})

Popular Examples

f(x)=(2x+1)^3(3-2x)^2

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

f (x) = ln (1 + x^{4})

f (x) = 2 e^{5 x}

f (x) = 13 - x^{2}

f(x)=0.5^{3x-2}

f (x) = 0. 5^{3 x - 2}

Frequently Asked Questions (FAQ)

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