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Popular >

f(x)=9x^2-12x-4

Solution

f (x) = 9 x^{2} - 12 x - 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 8

X Intercepts : (\frac{2 ( 1 + 2 )}{3}, 0), (\frac{2 ( 1 - 2 )}{3}, 0), Y Intercepts : (0, - 4)

Vertex : Minimum (\frac{2}{3}, - 8)

Inverse : \frac{2 + x + 8}{3}, \frac{2 - x + 8}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, \infty)

Solution steps

Domain of

9 x^{2} - 12 x - 4 : - \infty < x < \infty

Range of

9 x^{2} - 12 x - 4 : f (x) \geq - 8

Axis interception points of

9 x^{2} - 12 x - 4 :

X Intercepts

: (\frac{2 ( 1 + 2 )}{3}, 0), (\frac{2 ( 1 - 2 )}{3}, 0),

Y Intercepts

: (0, - 4)

Vertex of

9 x^{2} - 12 x - 4 :

Minimum

(\frac{2}{3}, - 8)

Inverse of

9 x^{2} - 12 x - 4 : \frac{2 + x + 8}{3}, \frac{2 - x + 8}{3}

Popular Examples

f (x) = x^{2} + 3 x + 15

g(x)=(cos(3)(x^3+1))^4

g (x) = (cos (3) (x^{3} + 1))^{4}

f(x)=(5/18)x^3-(20/3)x^2+104.19x

f (x) = (\frac{5}{18}) x^{3} - (\frac{20}{3}) x^{2} + 104.19 x

f(t)=sinh(ln(t))

f (t) = sinh (ln (t))

Q (p) = p - 4

Frequently Asked Questions (FAQ)

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