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Popular >

f(x)=log_{10}(x^2-9x+20)

Solution

f (x) = lo g_{10} (x^{2} - 9 x + 20)

Solution

Domain : x < 4 or x > 5

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{9 + 5}{2}, 0), (\frac{9 - 5}{2}, 0), Y Intercepts : (0, lo g_{10} (20))

Asymptotes : Vertical x = 4, x = 5

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 4) \cup (5, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

lo g_{10} (x^{2} - 9 x + 20) : x < 4 or x > 5

Range of

lo g_{10} (x^{2} - 9 x + 20) : - \infty < f (x) < \infty

Axis interception points of

lo g_{10} (x^{2} - 9 x + 20) :

X Intercepts

: (\frac{9 + 5}{2}, 0), (\frac{9 - 5}{2}, 0),

Y Intercepts

: (0, lo g_{10} (20))

Asymptotes of

lo g_{10} (x^{2} - 9 x + 20) :

Vertical

: x = 4, x = 5

Extreme Points of

lo g_{10} (x^{2} - 9 x + 20) :

None

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Frequently Asked Questions (FAQ)

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