Let f be the linear function (in blue) and let g be the parabolic function (in red) below. I have already tried 0,2,-1 and none of them work for the g o g(2) one and I'm soo confused. Please help!
Answers
Based on the graph of the linear function (in blue) and parabolic function (in red), the corresponding output values include the following;
(f∘g)(2) = -1.
(g∘f)(2) = 1.
(f∘f)(2) = 0.
(g∘g)(2)= 4.
(f + g)(4) = 7.
(f/g)(2) = DNE.
What is a function?
In Mathematics and Geometry, a function composition is an operation (∘) that combines two functions f(x) and g(x), in order to produce a composite function h(x) = (g∘f)(x), such that h(x) = g.
In this exercise, we would determine the corresponding output values for each of the composite functions by using the substitution method as follows;
(f∘g)(2) = f(g(2))
f(g(2)) = f(0)
f(0) = -1.
Part 2.
(g∘f)(2) = g(f(2))
g(f(2)) = g(1)
g(1) = 1.
Part 3.
(f∘f)(2) = f(f(2))
f(f(2)) = f(1)
f(1) = 0.
Part 4.
(g∘g)(2) = g(g(2))
g(g(2)) = g(0)
g(0) = 4.
Part 5.
(f + g)(4) = f(4) + g(4)
f(4) + g(4) = 3 + 4
f(4) + g(4) = 7.
Part 6.
(f/g)(2) = f(2)/g(2)
f(2)/g(2) = 1/0
f(2)/g(2) = DNE.
Read more on composite function here: brainly.com/question/30660139
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Step-by-step explanation:
g(g(2))
= g(0)
= 4
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What is the answer to a10/a3 ?
A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?
X-7=13
Answers
Answer:
x = 20
Step-by-step explanation:
Isolate x by adding 7 to both sides:
x = 20
Answers
Answer: 12/24
Step-by-step explanation: 6/12 = 1/2 = 12/24
Answers
Answer:
Here we have:
IxI < 7
This also can be written as:
-7 < x < 7
and:
IyI < 2.
As above, we can write this as:
-2 < y < 2.
Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)
Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.
The area would be the area inside that rectangle, where i did not shade it so it is easier to read.
Final answer:
To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, identify the boundaries and sketch the rectangle, shading the region within it.
Explanation:
To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, we first identify the boundaries of the region. The inequalities |x| < 7 and |y| < 2 represent lines parallel to the x-axis and y-axis, respectively. The region is bounded by these lines and lies within the rectangle with vertices (-7, -2), (-7, 2), (7, -2), and (7, 2). We sketch the rectangle and shade the region within it.
Learn more about Sketching and shading region in the xy-plane here:
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Answers
X= 7-3y
X has to be on one side
6y+2x =14
2x= 14-6y
X= 7-3y
Now we can plug that into the original equation (check)
6y + 2(7-3y)
6y+ 14-6y
14=14
X= 7-3y
Hope this helps!
Answers
Answer:
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points, using the slope formula:
Now, you can write the general equation of the line in slope-intercept form as:
and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):
Therefore, the equation of the line is:
Answer:
I believe it is y=2x+6.