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Popular >

Find the Roots (Zeros) g(x)=5x-12x^2+3

Solution

g (x) = 5 x - 12 x^{2} + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{169}{48}

X Intercepts : (- \frac{1}{3}, 0), (\frac{3}{4}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (\frac{5}{24}, \frac{169}{48})

Inverse : - \frac{- 5 + - 48 x + 169}{24}, - \frac{- 5 - - 48 x + 169}{24}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{169}{48}]

Solution steps

Domain of

5 x - 12 x^{2} + 3 : - \infty < x < \infty

Range of

5 x - 12 x^{2} + 3 : f (x) \leq \frac{169}{48}

Axis interception points of

5 x - 12 x^{2} + 3 :

X Intercepts

: (- \frac{1}{3}, 0), (\frac{3}{4}, 0),

Y Intercepts

: (0, 3)

Vertex of

5 x - 12 x^{2} + 3 :

Maximum

(\frac{5}{24}, \frac{169}{48})

Inverse of

5 x - 12 x^{2} + 3 : - \frac{- 5 + - 48 x + 169}{24}, - \frac{- 5 - - 48 x + 169}{24}

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y = 6 x - 8

Frequently Asked Questions (FAQ)

What is the g(x)=5x-12x^2+3 ?
The g(x)=5x-12x^2+3 is