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Popular >

y=log_{10}(sqrt(2x+5))

Solution

y = lo g_{10} (2 x + 5)

Solution

Domain : x > - \frac{5}{2}

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

X Intercepts : (- 2, 0), Y Intercepts : (0, \frac{1}{2} lo g_{10} (5))

Asymptotes : Vertical x = - \frac{5}{2}

Extreme Points : None

+1

Interval Notation

Domain : (- \frac{5}{2}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

lo g_{10} (2 x + 5) : x > - \frac{5}{2}

Range of

lo g_{10} (2 x + 5) : - \infty < f (x) < \infty

Axis interception points of

lo g_{10} (2 x + 5) :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, \frac{1}{2} lo g_{10} (5))

Asymptotes of

lo g_{10} (2 x + 5) :

Vertical

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

Extreme Points of

lo g_{10} (2 x + 5) :

None

Popular Examples

f(x)=(400)/(1+8e^{0.05x)}

f (x) = \frac{400}{1 + 8 e ^{0.05 x}}

g (x) = x^{2} - 4 x + 5

f(x)=cos(2x)e^{sin(2x)}dx

f (x) = cos (2 x) e^{s i n (2 x)} d x

f(x)=(3x^2)/(sqrt(x^3-3^2))

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

f (x) = 4 x - cos (x)

Frequently Asked Questions (FAQ)

What is the y=log_{10}(sqrt(2x+5)) ?
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