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Popular >

g(x)=-3/2 (x-2)^2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 0

X Intercepts : (2, 0), Y Intercepts : (0, - 6)

Vertex : Maximum (2, 0)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 0]

Solution steps

Domain of

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

Range of

- \frac{3}{2} (x - 2)^{2} : f (x) \leq 0

Axis interception points of

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

X Intercepts

: (2, 0),

Y Intercepts

: (0, - 6)

Vertex of

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

Maximum

(2, 0)

Inverse of

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

Popular Examples

g (y) = - 1

f(x)= 1/(x^2)+3

f (x) = \frac{1}{x ^{2}} + 3

f(θ)=1+2cot^2(θ)

f (θ) = 1 + 2 cot^{2} (θ)

f(x)=2sin(2x)+3cos(2x)

f (x) = 2 sin (2 x) + 3 cos (2 x)

f(x)=x^3+x^2+x+5

f (x) = x^{3} + x^{2} + x + 5

Frequently Asked Questions (FAQ)

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