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Popular >

f(x)=3-(x-4)^2

Solution

f (x) = 3 - (x - 4)^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (3 + 4, 0), (- 3 + 4, 0), Y Intercepts : (0, - 13)

Vertex : Maximum (4, 3)

Inverse : - x + 3 + 4, - - x + 3 + 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

3 - (x - 4)^{2} : - \infty < x < \infty

Range of

3 - (x - 4)^{2} : f (x) \leq 3

Axis interception points of

3 - (x - 4)^{2} :

X Intercepts

: (3 + 4, 0), (- 3 + 4, 0),

Y Intercepts

: (0, - 13)

Vertex of

3 - (x - 4)^{2} :

Maximum

(4, 3)

Inverse of

3 - (x - 4)^{2} : - x + 3 + 4, - - x + 3 + 4

Popular Examples

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f (t) = 6 t^{2} + 500 t + 8000

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f (b) = 4 b^{2} + 1

f(x)=(ln(3x))/x

f (x) = \frac{ln ( 3 x )}{x}

y=12x^3-65x^2+74x-24

y = 12 x^{3} - 65 x^{2} + 74 x - 24

Frequently Asked Questions (FAQ)

What is the f(x)=3-(x-4)^2 ?
The f(x)=3-(x-4)^2 is