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Popular >

f(x)=0.3x^2-60x+6000

Solution

f (x) = 0.3 x^{2} - 60 x + 6000

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 3000

Y Intercepts : (0, 6000)

Vertex : Minimum (100, 3000)

Inverse : \frac{600 + 120 x - 360000}{6}, \frac{600 - 120 x - 360000}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3000, \infty)

Solution steps

Domain of

0.3 x^{2} - 60 x + 6000 : - \infty < x < \infty

Range of

0.3 x^{2} - 60 x + 6000 : f (x) \geq 3000

Axis interception points of

0.3 x^{2} - 60 x + 6000 :

Y Intercepts

: (0, 6000)

Vertex of

0.3 x^{2} - 60 x + 6000 :

Minimum

(100, 3000)

Inverse of

0.3 x^{2} - 60 x + 6000 : \frac{600 + 120 x - 360000}{6}, \frac{600 - 120 x - 360000}{6}

Popular Examples

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

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

f(x)=(3-2x)/(2x-5)

f (x) = \frac{3 - 2 x}{2 x - 5}

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

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

f (y) = 5 y + 2

f(x)=3x-9,-1<= x<= 7

f (x) = 3 x - 9, - 1 \leq x \leq 7

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