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Popular Functions >

f(x)=(sqrt(7x+2))/(3x-1)

Solution

f (x) = \frac{7 x + 2}{3 x - 1}

Solution

Domain : - \frac{2}{7} \leq x < \frac{1}{3} or x > \frac{1}{3}

X Intercepts : (- \frac{2}{7}, 0), Y Intercepts : (0, - 2)

Asymptotes : Vertical x = \frac{1}{3}

Extreme Points : Maximum (- \frac{2}{7}, 0)

+1

Interval Notation

Domain : [- \frac{2}{7}, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Domain of

\frac{7 x + 2}{3 x - 1} : - \frac{2}{7} \leq x < \frac{1}{3} or x > \frac{1}{3}

Axis interception points of

\frac{7 x + 2}{3 x - 1} :

X Intercepts

: (- \frac{2}{7}, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{7 x + 2}{3 x - 1} :

Vertical

: x = \frac{1}{3}

Extreme Points of

\frac{7 x + 2}{3 x - 1} :

Maximum

(- \frac{2}{7}, 0)

Graph

Popular Examples

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f(x)=(x^2+x+2)/(x+1)

f(x)=(sech(x))/(cosh(x))

Frequently Asked Questions (FAQ)

What is the f(x)=(sqrt(7x+2))/(3x-1) ?
The f(x)=(sqrt(7x+2))/(3x-1) is