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cupoosta [38]
3 years ago
10

Help quick

Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0
1.You have two ways for solving this.
First, you could use a graphing utility or calculator to graph both functions on the same plane, and given that the functions do not have a y coordinate, the solution of f(x)=g(x) will be the x coordinate in which the tow graphs intercept (cross each other) as you can see in the picture (1).
The other way is equating the two equations and solve for x:
We know that f(x)=2x+1 and g(x)=-x+7, so f(x)=g(x) is equivalent to 2x+1=-x+7. The only thing left is solving the equation for x:
2x+1=-x+7
3x=6
x=2
As you can see, both ways gives us the same answer: the solution to the equation f(x)=g(x) is x=2.

2. For this one we can repeat the exact same procedures as before: 
Graph the functions on the same plane using a graph calculator or graphing utility, and identify the x coordinate in which the two graphs intercept as you can see in the picture (2), or you we can also equate both equations, and solve for x:
x+2=2x+1
x=1
And just like before, both ways gives us the same answer: the solution to the equation f(x)=g(x) is x=1

So, the answer that you should enter in your boxes are: 2 in the first, and 1 in the second one.

DedPeter [7]3 years ago
6 0

Answer:

1 & 0

Step-by-step explanation:

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Let me know if you have any misunderstanding!

As always, I am here to help!
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