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Popular >

f(x)=(3x-1)^2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (\frac{1}{3}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (\frac{1}{3}, 0)

Inverse : \frac{x + 1}{3}, \frac{- x + 1}{3}

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(3 x - 1)^{2} : - \infty < x < \infty

Range of

(3 x - 1)^{2} : f (x) \geq 0

Axis interception points of

(3 x - 1)^{2} :

X Intercepts

: (\frac{1}{3}, 0),

Y Intercepts

: (0, 1)

Vertex of

(3 x - 1)^{2} :

Minimum

(\frac{1}{3}, 0)

Inverse of

(3 x - 1)^{2} : \frac{x + 1}{3}, \frac{- x + 1}{3}

Popular Examples

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

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

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

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

f (x) = ∣ - x + 1 ∣

f(x)=ln((e^x+1)/(e^x-1))

f (x) = ln (\frac{e ^{x} + 1}{e ^{x} - 1})

y=arccot((x^3-1)/(x^3+1))

y = arccot (\frac{x ^{3} - 1}{x ^{3} + 1})

Frequently Asked Questions (FAQ)

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