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3 years ago

The function g(x) is defined as shown.

Mathematics

2 answers:

Evgen [1.6K]3 years ago

4 0

G(x) = 6 - x for x = 3 and above.
Therefore, g(3) = 6 - 3 = 3

lubasha [3.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

This is a piece-wise function. The domain [x-values] is broken down into parts.

To evaluate this type of functions, we see in WHICH PART of the DOMAIN does the questions ask to look for.

The question asks for $g(3)$ , the value of the function at $x=3$

In which of the 3 parts does $x=3$ fall into?

The domain condition, $x\geq3$ , in the last part tells us that it is GREATER THAN OR EQUAL TO 3. So $x=3$ falls in this part of the function, which is $6-x$

We can simply substitute 3 in $x$ of that part and get our desired answer. So,

$6-x\\6-(3)\\3$

The value of $g(3)=3$

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iris [78.8K]

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2 years ago

A. (-10,-10) B. (-1 /12, 9 1/2) C. (1/2, 4) D. (1,8)

lara31 [8.8K]

Answer:

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2 years ago

Find the value of sin(a/2) if cosa= 12/13

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

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3 years ago

Help me please help with this problem

vodomira [7]

It would be x=-4 have a good day

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3 years ago

The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electr

Monica [59]

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12*0=0, leaving you with 24.

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3 years ago