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Popular >

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

Solution

g (x) = - (x - 3)^{2} + 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2

X Intercepts : (2 + 3, 0), (- 2 + 3, 0), Y Intercepts : (0, - 7)

Vertex : Maximum (3, 2)

Inverse : - x + 2 + 3, - - x + 2 + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2]

Solution steps

Domain of

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

Range of

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

Axis interception points of

- (x - 3)^{2} + 2 :

X Intercepts

: (2 + 3, 0), (- 2 + 3, 0),

Y Intercepts

: (0, - 7)

Vertex of

- (x - 3)^{2} + 2 :

Maximum

(3, 2)

Inverse of

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

Popular Examples

f(x)=(x+4)/(x^2-12x+32)

f (x) = \frac{x + 4}{x ^{2} - 12 x + 32}

f(x)=4cos(4x+pi/4)+5

f (x) = 4 cos (4 x + \frac{π}{4}) + 5

y=-sin(3x+pi)-1

y = - sin (3 x + π) - 1

x = sin^{3} (t)

y = ln (1 - 2 x)

Frequently Asked Questions (FAQ)

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