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Popular >

f(x)=-(3x^2)/5+x/5+6

Solution

f (x) = - \frac{3 x ^{2}}{5} + \frac{x}{5} + 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{361}{60}

X Intercepts : (- 3, 0), (\frac{10}{3}, 0), Y Intercepts : (0, 6)

Vertex : Maximum (\frac{1}{6}, \frac{361}{60})

Inverse : - \frac{- 1 + - 60 x + 361}{6}, - \frac{- 1 - - 60 x + 361}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{361}{60}]

Solution steps

Domain of

- \frac{3 x ^{2}}{5} + \frac{x}{5} + 6 : - \infty < x < \infty

Range of

- \frac{3 x ^{2}}{5} + \frac{x}{5} + 6 : f (x) \leq \frac{361}{60}

Axis interception points of

- \frac{3 x ^{2}}{5} + \frac{x}{5} + 6 :

X Intercepts

: (- 3, 0), (\frac{10}{3}, 0),

Y Intercepts

: (0, 6)

Vertex of

- \frac{3 x ^{2}}{5} + \frac{x}{5} + 6 :

Maximum

(\frac{1}{6}, \frac{361}{60})

Inverse of

- \frac{3 x ^{2}}{5} + \frac{x}{5} + 6 : - \frac{- 1 + - 60 x + 361}{6}, - \frac{- 1 - - 60 x + 361}{6}

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Frequently Asked Questions (FAQ)

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