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Popular >

F(x)=(x-2)(2x-3)

Solution

F (x) = (x - 2) (2 x - 3)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{8}

X Intercepts : (2, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 6)

Vertex : Minimum (\frac{7}{4}, - \frac{1}{8})

Inverse : \frac{7 + 8 x + 1}{4}, \frac{7 - 8 x + 1}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{8}, \infty)

Solution steps

Domain of

(x - 2) (2 x - 3) : - \infty < x < \infty

Range of

(x - 2) (2 x - 3) : f (x) \geq - \frac{1}{8}

Axis interception points of

(x - 2) (2 x - 3) :

X Intercepts

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

Y Intercepts

: (0, 6)

Vertex of

(x - 2) (2 x - 3) :

Minimum

(\frac{7}{4}, - \frac{1}{8})

Inverse of

(x - 2) (2 x - 3) : \frac{7 + 8 x + 1}{4}, \frac{7 - 8 x + 1}{4}

Popular Examples

f (t) = 4 t

y = - \frac{1}{2} (x - 4)

f(x)=(sqrt(x)+34)/4

f (x) = \frac{x + 34}{4}

f(x)=5000x+50000

f (x) = 5000 x + 50000

f(x)=-3(x-2)(x-6)

f (x) = - 3 (x - 2) (x - 6)

Frequently Asked Questions (FAQ)

What is the F(x)=(x-2)(2x-3) ?
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