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gladu [14]
3 years ago
12

What are x-intercepts of the function f(x) = x2 + 4x + 3

Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

x-intercept(s): ( -1, 0 ) , ( -3, 0 )

y-intercept(s): ( 0, 3)

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All the cubes below have a different image on each side.
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Answer:

  • <u>Figure G</u>

Explanation:

The figure labeled A cannot be because the cross and the line are not oriented in  the same relative position as in X.

The figure labeled B cannot be because the line and the the image with the three lines are not oriented in the same relative position as in X.

You cannot tell about the figures labeled C because you do not see the images of the cross and the line.

The figure labeled E cannot be because the image with the three lines is not oriented in the same relative positiion with respect to the other two as in X.

You cannot tell about the figure labeled F because the image of the cross and with the three lines are not shown.

The figure labeled G is correct: you can just rotate the cube labeled X 90 degrees counterclockwise about a vertical axis that passes through the center of the cube and get the cube labeled G.

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Consider the function f(x) = 3x-1/x+4.
andrew-mc [135]

Ans(a):


Given function is f(x)=\frac{3x-1}{x+4}


we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0


so let's solve


x+4≠0 for x


x≠0-4


x≠-4


Hence at x=4, function can't have solution.


Ans(b):


We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)


so we get:


g(x)=f(x)+4


g(x)=\frac{3x-1}{x+4}+4


We may simplify this equation but that is not compulsory.


Comparision:  


Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):


To find value of x when g(x)=8, just plug g(x)=8 in previous equation


8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16


x=-17


Hence final answer is x=-17


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Answer:

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Major arc, if it was semi circle, it would’ve been a half circle.

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