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zheka24 [161]
1 year ago
7

Help please plase please ples ples ples

Mathematics
2 answers:
VLD [36.1K]1 year ago
5 0
<h2>Answer:</h2>

f(g(-2))=7.

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

When asking for f(g(-2)) they are basically asking you to evaluate the function g(x) for -2, find a y value, and plug in that value as x in f(x).

Let's do it step-by-step:

1. Find the value of g(-2).

G(x) is given as a graph, therefore, you will have to see what value of axis y marks the graphic when you make x=-2. <em>Check the attached image</em>. As you may notice, the value that function g(x) generates for x= -2 is y= -3. Hence, g(-2)= -3.

2. Substitute the value into f(x).

F(x) is a piecewise function, so we'll need to determine the group the value fits into and calculate with the expession that corresponds for that value. Our value is -3, this value is less than -2, therefore, the function we'll have to use is f(x)=7.

3. Determine the value of f(-3).

Since f(x)= 7 for our value (-3), the result is 7.

4. Express your answer.

f(g(-2))=7.

Trava [24]1 year ago
3 0

Answer:

7

Step-by-step explanation:

From the graph....you can see g(-2) = -3     ( see attached diagram below)  

then f(-3) =   7             ( because -3 is less than -2. ... so it = 7)

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Step-by-step explanation:

So we have two consecutive integers.

Let's call the first integer a.

Since the integers are consecutive, the other integer must be (a+1) (one more than the last one).

We know that the sum of the greatest integer (or a+1) and twice the lesser integer (a) is 40. Therefore, we can write the following equation:

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The first term represents the greatest integer. The second term represents 2 times the lesser integer. And together, they equal 40.

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Subtract 1 from both sides. The 1s on the left cancel:

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Therefore, a or the first integer is 13.

And the second integer is 14.

And we can check:

14+2(13)=14+26=40

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