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Popular >

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

Solution

f (x) = \frac{( 3 x ^{2} + 5 x - 3 )}{( 8 x ^{2} )}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{61}{96}

X Intercepts : (\frac{- 5 + 61}{6}, 0), (\frac{- 5 - 61}{6}, 0)

Asymptotes : Vertical x = 0, Horizontal y = \frac{3}{8}

Extreme Points : Maximum (\frac{6}{5}, \frac{61}{96})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \frac{61}{96}]

Solution steps

Domain of

\frac{3 x ^{2} + 5 x - 3}{8 x ^{2}} : x < 0 or x > 0

Range of

\frac{3 x ^{2} + 5 x - 3}{8 x ^{2}} : f (x) \leq \frac{61}{96}

Axis interception points of

\frac{3 x ^{2} + 5 x - 3}{8 x ^{2}} :

X Intercepts

: (\frac{- 5 + 61}{6}, 0), (\frac{- 5 - 61}{6}, 0)

Asymptotes of

\frac{3 x ^{2} + 5 x - 3}{8 x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = \frac{3}{8}

Extreme Points of

\frac{3 x ^{2} + 5 x - 3}{8 x ^{2}} :

Maximum

(\frac{6}{5}, \frac{61}{96})

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Frequently Asked Questions (FAQ)

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