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xeze [42]
2 years ago
12

Consider the following graph of a piecewise-defined function.

Mathematics
1 answer:
netineya [11]2 years ago
4 0
From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5

b] when x≥3, the value of f(x) will be f(x)=-3
Answer: <span>A: -3</span>
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<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

4 + 2 sin(x)= 14-8 sin(x)

<h3>2. Subtract "4" from both sides of the equation.</h3>

-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10

<h3>4. Divide both sides by 10.</h3>

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<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

arcsin(sin(x))=arcsin(1)\\ \\x=90

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<u>x= 90°</u>.

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