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Popular >

y=((5x-4))/(3x^2+1)

Solution

y = \frac{( 5 x - 4 )}{3 x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : - \frac{73}{2 3} - 2 \leq f (x) \leq \frac{73}{2 3} - 2

X Intercepts : (\frac{4}{5}, 0), Y Intercepts : (0, - 4)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{- 12 + 219}{15}, - \frac{219 + 12}{6}), Maximum (\frac{12 + 219}{15}, \frac{219 - 12}{6})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{73}{2 3} - 2, \frac{73}{2 3} - 2]

Solution steps

Domain of

\frac{5 x - 4}{3 x ^{2} + 1} : - \infty < x < \infty

Range of

\frac{5 x - 4}{3 x ^{2} + 1} : - \frac{73}{2 3} - 2 \leq f (x) \leq \frac{73}{2 3} - 2

Axis interception points of

\frac{5 x - 4}{3 x ^{2} + 1} :

X Intercepts

: (\frac{4}{5}, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

\frac{5 x - 4}{3 x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{5 x - 4}{3 x ^{2} + 1} :

Minimum

(- \frac{- 12 + 219}{15}, - \frac{219 + 12}{6}),

Maximum

(\frac{12 + 219}{15}, \frac{219 - 12}{6})

Popular Examples

y = - e^{5 x^{2}}

f(x)=x^4-7x^3+9x^2+x-10

f (x) = x^{4} - 7 x^{3} + 9 x^{2} + x - 10

y= 1/(log_{10)(x)}

y = \frac{1}{lo g _{10} ( x )}

y=(9sin(x))/((3x+4)^2)

y = \frac{9 sin ( x )}{( 3 x + 4 ) ^{2}}

f(x)=4x^3+7x^2-3x+8+7x^5

f (x) = 4 x^{3} + 7 x^{2} - 3 x + 8 + 7 x^{5}

Frequently Asked Questions (FAQ)

What is the y=((5x-4))/(3x^2+1) ?
The y=((5x-4))/(3x^2+1) is