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Popular >

f(x)=(3x^2-4x)/(5x^2-3)

Solution

f (x) = \frac{3 x ^{2} - 4 x}{5 x ^{2} - 3}

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{4}{3}, 0), (0, 0), Y Intercepts : (0, 0)

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3 x ^{2} - 4 x}{5 x ^{2} - 3} : x < - \frac{3}{5} or - \frac{3}{5} < x < \frac{3}{5} or x > \frac{3}{5}

Range of

\frac{3 x ^{2} - 4 x}{5 x ^{2} - 3} : - \infty < f (x) < \infty

Axis interception points of

\frac{3 x ^{2} - 4 x}{5 x ^{2} - 3} :

X Intercepts

: (\frac{4}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{3 x ^{2} - 4 x}{5 x ^{2} - 3} :

Vertical

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

Horizontal

: y = \frac{3}{5}

Extreme Points of

\frac{3 x ^{2} - 4 x}{5 x ^{2} - 3} :

None

Popular Examples

f (x) = 350 (7)

f(n)=((-1)^nn^3)/(n^3+2n^2+1)

f (n) = \frac{( - 1 ) ^{n} n ^{3}}{n ^{3} + 2 n ^{2} + 1}

y = \frac{2}{x + 4}

y = \frac{2}{x + 5}

y = \frac{2}{x + 7}

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2-4x)/(5x^2-3) ?
The f(x)=(3x^2-4x)/(5x^2-3) is