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Popular >

f(x)=(ln(7x-x^2))/(7-2x)

Solution

f (x) = \frac{ln ( 7 x - x ^{2} )}{7 - 2 x}

Solution

Domain : 0 < x < \frac{7}{2} or \frac{7}{2} < x < 7

X Intercepts : (\frac{7 - 3 5}{2}, 0), (\frac{7 + 3 5}{2}, 0)

Asymptotes : Vertical x = 0, x = \frac{7}{2}, x = 7

+1

Interval Notation

Domain : (0, \frac{7}{2}) \cup (\frac{7}{2}, 7)

Solution steps

Domain of

\frac{ln ( 7 x - x ^{2} )}{7 - 2 x} : 0 < x < \frac{7}{2} or \frac{7}{2} < x < 7

Axis interception points of

\frac{ln ( 7 x - x ^{2} )}{7 - 2 x} :

X Intercepts

: (\frac{7 - 3 5}{2}, 0), (\frac{7 + 3 5}{2}, 0)

Asymptotes of

\frac{ln ( 7 x - x ^{2} )}{7 - 2 x} :

Vertical

: x = 0, x = \frac{7}{2}, x = 7

Popular Examples

f(x)=-(x-1)^2+6

f (x) = - (x - 1)^{2} + 6

y=log_{2}(xlog_{5}(x))

y = lo g_{2} (x lo g_{5} (x))

f(x)=9x^{4/7}-1

f (x) = 9 x^{\frac{4}{7}} - 1

y = 6 x + 13

f(x)=(3x)/(x-3)

f (x) = \frac{3 x}{x - 3}

Frequently Asked Questions (FAQ)

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