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Popular >

y=(sqrt(2x^2+1))/(3x-5)

Solution

y = \frac{2 x ^{2} + 1}{3 x - 5}

Solution

Domain : x < \frac{5}{3} or x > \frac{5}{3}

Range : f (x) \leq - \frac{2}{59} or f (x) > \frac{2}{3}

Y Intercepts : (0, - \frac{1}{5})

Asymptotes : Vertical x = \frac{5}{3}, Horizontal y = \frac{2}{3}, y = - \frac{2}{3}

Extreme Points : Maximum (- \frac{3}{10}, - \frac{2}{59})

+1

Interval Notation

Domain : (- \infty, \frac{5}{3}) \cup (\frac{5}{3}, \infty)

Range : (- \infty, - \frac{2}{59}] \cup (\frac{2}{3}, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2} + 1}{3 x - 5} : f (x) \leq - \frac{2}{59} or f (x) > \frac{2}{3}

Axis interception points of

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

Y Intercepts

: (0, - \frac{1}{5})

Asymptotes of

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

Vertical

: x = \frac{5}{3},

Horizontal

: y = \frac{2}{3}, y = - \frac{2}{3}

Extreme Points of

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

Maximum

(- \frac{3}{10}, - \frac{2}{59})

Popular Examples

f (x) = 2^{x - 4} + 1

f(s)=sqrt((s^2+1)/(s^2+4))

f (s) = \frac{s ^{2} + 1}{s ^{2} + 4}

u=(x^2+4x+4)e^{-2x}

u = (x^{2} + 4 x + 4) e^{- 2 x}

y=0.6sin(pi/6 x+1)+0.8

y = 0.6 sin (\frac{π}{6} x + 1) + 0.8

y = (x^{3} - x)^{3}

Frequently Asked Questions (FAQ)

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