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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 (x) = 3 x^{3} + 7

f (z) = \frac{z ^{2}}{2}

f(x)=2x^2-18x+36

f (x) = 2 x^{2} - 18 x + 36

f(x)=-5/6 x+7/2

f (x) = - \frac{5}{6} x + \frac{7}{2}

f(x)=sqrt(1-2x)-3

f (x) = 1 - 2 x - 3

Frequently Asked Questions (FAQ)

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