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Popular >

f(x)=(15)/(cos(x)+4)

Solution

f (x) = \frac{15}{cos ( x ) + 4}

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 3 \leq f (x) \leq 5

Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (2 πn, 3), Maximum (π + 2 πn, 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3, 5]

Solution steps

Periodicity of

\frac{15}{cos ( x ) + 4} : 2 π

Domain of

\frac{15}{cos ( x ) + 4} : - \infty < x < \infty

Range of

\frac{15}{cos ( x ) + 4} : 3 \leq f (x) \leq 5

Axis interception points of

\frac{15}{cos ( x ) + 4} :

Y Intercepts

: (0, 3)

Asymptotes of

\frac{15}{cos ( x ) + 4} :

None

Extreme Points of

\frac{15}{cos ( x ) + 4} :

Minimum

(2 πn, 3),

Maximum

(π + 2 πn, 5)

Popular Examples

f (n) = n^{2} - 6 n - 16

y = \frac{1}{3 x + 5}

f(x)=x^3-2x^2+5x+6

f (x) = x^{3} - 2 x^{2} + 5 x + 6

y = x^{3} - 4 x^{2} + 4 x

f(x)=3sin^3(4x^5-6x)

f (x) = 3 sin^{3} (4 x^{5} - 6 x)

Frequently Asked Questions (FAQ)

What is the f(x)=(15)/(cos(x)+4) ?
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