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Popular >

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

Solution

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

Solution

Domain : x < \frac{7}{4} or x > \frac{7}{4}

Range : f (x) \leq \frac{- 1185 + 31}{8} or f (x) \geq \frac{1185 + 31}{8}

Y Intercepts : (0, - \frac{3}{7})

Asymptotes : Vertical x = \frac{7}{4}, Slant y = \frac{5}{4} x + \frac{27}{16}

Extreme Points : Maximum (\frac{35 - 1185}{20}, - \frac{1185 - 31}{8}), Minimum (\frac{35 + 1185}{20}, \frac{1185 + 31}{8})

+1

Interval Notation

Domain : (- \infty, \frac{7}{4}) \cup (\frac{7}{4}, \infty)

Range : (- \infty, \frac{- 1185 + 31}{8}] \cup [\frac{1185 + 31}{8}, \infty)

Solution steps

Domain of

\frac{5 x ^{2} - 2 x + 3}{4 x - 7} : x < \frac{7}{4} or x > \frac{7}{4}

Range of

\frac{5 x ^{2} - 2 x + 3}{4 x - 7} : f (x) \leq \frac{- 1185 + 31}{8} or f (x) \geq \frac{1185 + 31}{8}

Axis interception points of

\frac{5 x ^{2} - 2 x + 3}{4 x - 7} :

Y Intercepts

: (0, - \frac{3}{7})

Asymptotes of

\frac{5 x ^{2} - 2 x + 3}{4 x - 7} :

Vertical

: x = \frac{7}{4},

Slant

: y = \frac{5}{4} x + \frac{27}{16}

Extreme Points of

\frac{5 x ^{2} - 2 x + 3}{4 x - 7} :

Maximum

(\frac{35 - 1185}{20}, - \frac{1185 - 31}{8}),

Minimum

(\frac{35 + 1185}{20}, \frac{1185 + 31}{8})

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Frequently Asked Questions (FAQ)

What is the f(x)=(5x^2-2x+3)/(4x-7) ?
The f(x)=(5x^2-2x+3)/(4x-7) is