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Popular >

f(x)=5x+3sqrt(x^2-1)

Solution

f (x) = 5 x + 3 x^{2} - 1

Solution

Domain : x \leq - 1 or x \geq 1

Range : f (x) \leq - 4 or f (x) \geq 5

Intercepts : None

Asymptotes : Slant y = 8 x, y = 2 x

Extreme Points : Maximum (- \frac{5}{4}, - 4), Minimum (- 1, - 5), Minimum (1, 5)

+1

Interval Notation

Domain : (- \infty, - 1] \cup [1, \infty)

Range : (- \infty, - 4] \cup [5, \infty)

Solution steps

Domain of

5 x + 3 x^{2} - 1 : x \leq - 1 or x \geq 1

Range of

5 x + 3 x^{2} - 1 : f (x) \leq - 4 or f (x) \geq 5

Axis interception points of

5 x + 3 x^{2} - 1 :

None

Asymptotes of

5 x + 3 x^{2} - 1 :

Slant

: y = 8 x, y = 2 x

Extreme Points of

5 x + 3 x^{2} - 1 :

Maximum

(- \frac{5}{4}, - 4),

Minimum

(- 1, - 5),

Minimum

(1, 5)

Popular Examples

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

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

f (X) = X^{2} + 2

f(x)=(sqrt(x^2-5x+6))/(x+4)

f (x) = \frac{x ^{2} - 5 x + 6}{x + 4}

Q(x)=-x^2(x^2-9)

Q (x) = - x^{2} (x^{2} - 9)

f(x)=(3(x^2-2)^{1/2})/(1-x)

f (x) = \frac{3 ( x ^{2} - 2 ) ^{\frac{1}{2}}}{1 - x}

Frequently Asked Questions (FAQ)

What is the f(x)=5x+3sqrt(x^2-1) ?
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