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Popular >

f(h)=(sqrt(25+h)-5)/h

Solution

f (h) = \frac{25 + h - 5}{h}

Solution

Domain : - 25 \leq h < 0 or h > 0

Range : 0 < f (h) < \frac{1}{10} or \frac{1}{10} < f (h) \leq \frac{1}{5}

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 25, \frac{1}{5})

+1

Interval Notation

Domain : [- 25, 0) \cup (0, \infty)

Range : (0, \frac{1}{10}) \cup (\frac{1}{10}, \frac{1}{5}]

Solution steps

Domain of

\frac{25 + h - 5}{h} : - 25 \leq h < 0 or h > 0

Range of

\frac{25 + h - 5}{h} : 0 < f (h) < \frac{1}{10} or \frac{1}{10} < f (h) \leq \frac{1}{5}

Axis interception points of

\frac{25 + h - 5}{h} :

None

Asymptotes of

\frac{25 + h - 5}{h} :

Horizontal

: y = 0

Extreme Points of

\frac{25 + h - 5}{h} :

Maximum

(- 25, \frac{1}{5})

Popular Examples

f(x)=2x+3,1<= x<= 6

f (x) = 2 x + 3, 1 \leq x \leq 6

f (x) = - 12 x^{3}

f (x) = - 12 x^{2}

f (x) = csc^{4} (x)

f(x)=sqrt((x^3-27)/(4-x^2))

f (x) = \frac{x ^{3} - 27}{4 - x ^{2}}

Frequently Asked Questions (FAQ)

What is the f(h)=(sqrt(25+h)-5)/h ?
The f(h)=(sqrt(25+h)-5)/h is