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Popular Functions >

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}

Graph

Popular Examples

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

f(y_{0})=e^2*y_{0}

f(x)=(x+5)^2*(x+1)^6*(x-2)^4

f(x)=sqrt((x-2011)^2+(x-1)^2)

Frequently Asked Questions (FAQ)

What is the f(x)=((2x^2-3))/5 ?
The f(x)=((2x^2-3))/5 is