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Popular Functions >

y= 4/(x+sqrt(x)+0.2-5x)

Solution

y = \frac{4}{x + x + 0.2 - 5 x}

Solution

Domain : 0 \leq x < \frac{13 + 105}{160} or x > \frac{13 + 105}{160}

Range : f (x) < 0 or f (x) \geq 15.23809 \dots

Y Intercepts : (0, \frac{4}{0.2})

Asymptotes : Vertical x = \frac{13 + 105}{160}, Horizontal y = 0

Extreme Points : Maximum (0, 20), Minimum (\frac{1}{64}, 15.23809 \dots)

+1

Interval Notation

Domain : [0, \frac{13 + 105}{160}) \cup (\frac{13 + 105}{160}, \infty)

Range : (- \infty, 0) \cup [15.23809 \dots, \infty)

Solution steps

Domain of

\frac{4}{x + x + 0.2 - 5 x} : 0 \leq x < \frac{13 + 105}{160} or x > \frac{13 + 105}{160}

Range of

\frac{4}{x + x + 0.2 - 5 x} : f (x) < 0 or f (x) \geq 15.23809 \dots

Axis interception points of

\frac{4}{x + x + 0.2 - 5 x} :

Y Intercepts

: (0, \frac{4}{0.2})

Asymptotes of

\frac{4}{x + x + 0.2 - 5 x} :

Vertical

: x = \frac{13 + 105}{160},

Horizontal

: y = 0

Extreme Points of

\frac{4}{x + x + 0.2 - 5 x} :

Maximum

(0, 20),

Minimum

(\frac{1}{64}, 15.23809 \dots)

Graph

Popular Examples

f(x)=|x-1|-3|2-x|+5|x-7|

y= 1/(4x^2+2x+7)

f(x)=18x^2+9x-88

Frequently Asked Questions (FAQ)

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