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Popular >

q(x)=((x^2-5x+7))/((2x))

Solution

q (x) = \frac{( x ^{2} - 5 x + 7 )}{( 2 x )}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 7 - \frac{5}{2} or f (x) \geq 7 - \frac{5}{2}

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = \frac{1}{2} x - \frac{5}{2}

Extreme Points : Maximum (- 7, - \frac{2 7 + 5}{2}), Minimum (7, \frac{2 7 - 5}{2})

+1

Interval Notation

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

Range : (- \infty, - 7 - \frac{5}{2}] \cup [7 - \frac{5}{2}, \infty)

Solution steps

Domain of

\frac{x ^{2} - 5 x + 7}{2 x} : x < 0 or x > 0

Range of

\frac{x ^{2} - 5 x + 7}{2 x} : f (x) \leq - 7 - \frac{5}{2} or f (x) \geq 7 - \frac{5}{2}

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = \frac{1}{2} x - \frac{5}{2}

Extreme Points of

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

Maximum

(- 7, - \frac{2 7 + 5}{2}),

Minimum

(7, \frac{2 7 - 5}{2})

Popular Examples

y = \frac{1}{( 2 x + 1 )}

f(x)=log_{10}(10x)

f (x) = lo g_{10} (10 x)

f(a)=(1-a^2)/(25)

f (a) = \frac{1 - a ^{2}}{25}

y=log_{10}(x+sqrt(x^2+a^2))

y = lo g_{10} (x + x^{2} + a^{2})

f(m)=35.712975-83.52m^{929}

f (m) = 35.712975 - 83.52 m^{929}

Frequently Asked Questions (FAQ)

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