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Popular >

f(x)=9x+1-x^2

Solution

f (x) = 9 x + 1 - x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{85}{4}

X Intercepts : (- \frac{- 9 + 85}{2}, 0), (\frac{9 + 85}{2}, 0), Y Intercepts : (0, 1)

Vertex : Maximum (\frac{9}{2}, \frac{85}{4})

Inverse : - \frac{- 9 + - 4 x + 85}{2}, - \frac{- 9 - - 4 x + 85}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{85}{4}]

Solution steps

Domain of

9 x + 1 - x^{2} : - \infty < x < \infty

Range of

9 x + 1 - x^{2} : f (x) \leq \frac{85}{4}

Axis interception points of

9 x + 1 - x^{2} :

X Intercepts

: (- \frac{- 9 + 85}{2}, 0), (\frac{9 + 85}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

9 x + 1 - x^{2} :

Maximum

(\frac{9}{2}, \frac{85}{4})

Inverse of

9 x + 1 - x^{2} : - \frac{- 9 + - 4 x + 85}{2}, - \frac{- 9 - - 4 x + 85}{2}

Popular Examples

y=\sqrt[3]{x}-2

f(x)=18x^2+6x+1

f (x) = 18 x^{2} + 6 x + 1

y = (x - 3)

y=(2x^3)/(x^2-4)

y = \frac{2 x ^{3}}{x ^{2} - 4}

f(x)=x^4+34x^2+225

f (x) = x^{4} + 34 x^{2} + 225

Frequently Asked Questions (FAQ)

What is the f(x)=9x+1-x^2 ?
The f(x)=9x+1-x^2 is