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posledela
3 years ago
15

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Given two functions, we can combine them in such a way so that the outputs of one function become the inputs of the other. ... 3, right parenthesis first and then substitute that result into f f ff to find our answer. ..... Problem 1 ..... end{aligned} (h∘g)(x)​=h(g(x))=(g(x))2−2(g(x))=(x+4)2−2(x+4)=x2+8x+16−2x−8=x2+6x+8​Define.

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Can someone please help me solve this?
aleksklad [387]

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

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