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Popular >

f(x)=4x^2-5x-3

Solution

f (x) = 4 x^{2} - 5 x - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{73}{16}

X Intercepts : (\frac{5 + 73}{8}, 0), (\frac{5 - 73}{8}, 0), Y Intercepts : (0, - 3)

Vertex : Minimum (\frac{5}{8}, - \frac{73}{16})

Inverse : \frac{5 + 16 x + 73}{8}, \frac{5 - 16 x + 73}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{73}{16}, \infty)

Solution steps

Domain of

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

Range of

4 x^{2} - 5 x - 3 : f (x) \geq - \frac{73}{16}

Axis interception points of

4 x^{2} - 5 x - 3 :

X Intercepts

: (\frac{5 + 73}{8}, 0), (\frac{5 - 73}{8}, 0),

Y Intercepts

: (0, - 3)

Vertex of

4 x^{2} - 5 x - 3 :

Minimum

(\frac{5}{8}, - \frac{73}{16})

Inverse of

4 x^{2} - 5 x - 3 : \frac{5 + 16 x + 73}{8}, \frac{5 - 16 x + 73}{8}

Popular Examples

f (y) = \frac{4}{y - 2}

f(x)={2x-3:x>= 2,x^2-5:x<2}

f (x) = {2 x - 3 : x \geq 2, x^{2} - 5 : x < 2}

f(x)=(x^2-4x-12)/(x+2)

f (x) = \frac{x ^{2} - 4 x - 12}{x + 2}

f(x)=(3x)/(2-x)

f (x) = \frac{3 x}{2 - x}

f(x)=2x^3-3x^2+4x

f (x) = 2 x^{3} - 3 x^{2} + 4 x

Frequently Asked Questions (FAQ)

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