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Drupady [299]
3 years ago
12

The function f(x)-->4-3sinx is defined for the domain 0≤x≤2pi

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0
 <span>1--- f(x) = 4 - 3 sin x = 2 
-3 sin x = -2 
sin x = 2/3 
x ≈ 0.7297276562... ≈ 0.73 

2--- -1 ≤ sin x ≤ 1 
-3 ≤ 3 sin x ≤ 3 
3 ≥ -3 sin x ≥ -3 
7 ≥ 4 - 3 sin x ≥ 1 

If k < 1 or k > 7, there is no solution. 

3--- A = 3π/2 

4--- g(x) = 4 - 3 sin x = y 
4 - 3 sin y = x 
4 - x = 3 sin y 
(4 - x)/3 = sin y 
sin^-1 (4 - x)/3 = y= g^-1 

g^-1 (3) = sin^-1 (4 - 3)/4 = sin^-1 1/4 = 2.8017557... ≈ 2.802

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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Answer:

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A linear model:

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Step-by-step explanation:

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Step-by-step explanation:

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The function g(x)=f(x+3)+2. Which of the following is true about the graph of g(x)?
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2x+14= -21-5x<br> Need to find out what x is but a step by step explanation please
adoni [48]
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
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Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
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