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Popular >

f(x)=4x-5+20x^2

Solution

f (x) = 4 x - 5 + 20 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{26}{5}

X Intercepts : (\frac{- 1 + 26}{10}, 0), (- \frac{1 + 26}{10}, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (- \frac{1}{10}, - \frac{26}{5})

Inverse : \frac{- 1 + 5 x + 26}{10}, - \frac{5 x + 26 + 1}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{26}{5}, \infty)

Solution steps

Domain of

4 x - 5 + 20 x^{2} : - \infty < x < \infty

Range of

4 x - 5 + 20 x^{2} : f (x) \geq - \frac{26}{5}

Axis interception points of

4 x - 5 + 20 x^{2} :

X Intercepts

: (\frac{- 1 + 26}{10}, 0), (- \frac{1 + 26}{10}, 0),

Y Intercepts

: (0, - 5)

Vertex of

4 x - 5 + 20 x^{2} :

Minimum

(- \frac{1}{10}, - \frac{26}{5})

Inverse of

4 x - 5 + 20 x^{2} : \frac{- 1 + 5 x + 26}{10}, - \frac{5 x + 26 + 1}{10}

Popular Examples

f(x)=(2x^2-3x)/(x^2-x-12)

f (x) = \frac{2 x ^{2} - 3 x}{x ^{2} - x - 12}

f(x)=(x^2-4x)/(x^2-16)

f (x) = \frac{x ^{2} - 4 x}{x ^{2} - 16}

P(t)=-1701t^2+80000t+10000

P (t) = - 1701 t^{2} + 80000 t + 10000

h(x)= x/(x^2+5)

h (x) = \frac{x}{x ^{2} + 5}

y = - 3 x^{2} + 12 x - 4

Frequently Asked Questions (FAQ)

What is the f(x)=4x-5+20x^2 ?
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