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Popular >

y=3x^2-24x+43

Solution

y = 3 x^{2} - 24 x + 43

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (\frac{12 + 15}{3}, 0), (\frac{12 - 15}{3}, 0), Y Intercepts : (0, 43)

Vertex : Minimum (4, - 5)

Inverse : \frac{24 + 12 x + 60}{6}, \frac{24 - 12 x + 60}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

3 x^{2} - 24 x + 43 : - \infty < x < \infty

Range of

3 x^{2} - 24 x + 43 : f (x) \geq - 5

Axis interception points of

3 x^{2} - 24 x + 43 :

X Intercepts

: (\frac{12 + 15}{3}, 0), (\frac{12 - 15}{3}, 0),

Y Intercepts

: (0, 43)

Vertex of

3 x^{2} - 24 x + 43 :

Minimum

(4, - 5)

Inverse of

3 x^{2} - 24 x + 43 : \frac{24 + 12 x + 60}{6}, \frac{24 - 12 x + 60}{6}

Popular Examples

y = 3 x^{2} - 24 x + 45

f (x) = 2 e^{x^{2}}

f(a)=log_{2}(a)

f (a) = lo g_{2} (a)

g (x) = \frac{x}{x + 1}

y = \frac{4}{5} x - 7

Frequently Asked Questions (FAQ)

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