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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{3}{5}

X Intercepts : (\frac{3}{2}, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, - \frac{3}{5})

Vertex : Minimum (0, - \frac{3}{5})

Inverse : \frac{5 x + 3}{2}, - \frac{5 x + 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3}{5}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{2 x ^{2} - 3}{5} :

X Intercepts

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

Y Intercepts

: (0, - \frac{3}{5})

Vertex of

\frac{2 x ^{2} - 3}{5} :

Minimum

(0, - \frac{3}{5})

Inverse of

\frac{2 x ^{2} - 3}{5} : \frac{5 x + 3}{2}, - \frac{5 x + 3}{2}

Popular Examples

f(x)=(3.2x-4.9)ln(3.2x+2.7)

f (x) = (3.2 x - 4.9) ln (3.2 x + 2.7)

f(x)=sqrt(1-\sqrt{1-x)}

f (x) = 1 - 1 - x

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

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

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

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

f(x)=sqrt(3x-27)

f (x) = 3 x - 27

Frequently Asked Questions (FAQ)

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