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Popular >

f(x)= 1/3 (x+1)(x-6)

Solution

f (x) = \frac{1}{3} (x + 1) (x - 6)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{49}{12}

X Intercepts : (- 1, 0), (6, 0), Y Intercepts : (0, - 2)

Vertex : Minimum (\frac{5}{2}, - \frac{49}{12})

Inverse : \frac{5 + 12 x + 49}{2}, \frac{5 - 12 x + 49}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{49}{12}, \infty)

Solution steps

Domain of

\frac{1}{3} (x + 1) (x - 6) : - \infty < x < \infty

Range of

\frac{1}{3} (x + 1) (x - 6) : f (x) \geq - \frac{49}{12}

Axis interception points of

\frac{1}{3} (x + 1) (x - 6) :

X Intercepts

: (- 1, 0), (6, 0),

Y Intercepts

: (0, - 2)

Vertex of

\frac{1}{3} (x + 1) (x - 6) :

Minimum

(\frac{5}{2}, - \frac{49}{12})

Inverse of

\frac{1}{3} (x + 1) (x - 6) : \frac{5 + 12 x + 49}{2}, \frac{5 - 12 x + 49}{2}

Popular Examples

f (x) = 5 tan (3 x)

f(t)=e^{-2t}+e^{-t}

f (t) = e^{- 2 t} + e^{- t}

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

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

y=(x^2)/((x+1)^2)

y = \frac{x ^{2}}{( x + 1 ) ^{2}}

f (t) = 1 + t - t^{2}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/3 (x+1)(x-6) ?
The f(x)= 1/3 (x+1)(x-6) is