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dezoksy [38]
3 years ago
6

G(x)=1/2(x-3)+1 find the inverse

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

g(x)=\dfrac{1}{2}(x-3)+1\\\\y=\dfrac{1}{2}(x-3)+1\\\\\text{replace x with y and y with x}\\\\x=\dfrac{1}{2}(y-3)+1\\\\\text{solve for y}\\\\\dfrac{1}{2}(y-3)+1=x\ \ \ \ |-1\\\\\dfrac{1}{2}(y-3)=x-1\ \ \ \ |\cdot2\\\\y-3=2x-2\ \ \ \ |+3\\\\y=2x+1\\\\Answer:\ \boxed{g^{-1}(x)=2x+1}

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I dont get this question
VARVARA [1.3K]
I think C? I'm not sure but it seems like the most logical

5 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse of 385.7 and 321.84?
Ivahew [28]
I suppose the two given numbers are the length of the two legs.
Pythagorean theorem: 385.7^2 + 321.84^2=hypotenuse^2
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4 0
4 years ago
How do i do this and what’s the answer????
inysia [295]

Answer:

The correct answer is z = -6.

Step-by-step explanation:

1/3 (2z + 6) = 1/4 (z - 2)

The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4).  This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.

4 (2z + 6) = 3 (z - 2)

Next, we can use the distributive property to eliminate the parentheses.  This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.

8z + 24 = 3z - 6

Now, we can subtract 3z from both sides of the equation.

5z + 24 = - 6

Next, we should subtract 24 from both sides of the equation.

5z = -30

Finally, we can divide both sides of the equation by 5.

z = -6

Therefore, the correct answer is z = -6.

Hope this helps!

6 0
4 years ago
Simplify the expression.<br> 3 - 4 +7 - 4
Tresset [83]
2
3+7=10
-4-4=-8
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4 0
3 years ago
11 less than 3 times a number is the same as 75 less than the product of minus 1 and the number what is the value of the number
DaniilM [7]

Answer:

(-16)

Step-by-step explanation:

Let the number  = x

11 less than 3 times a number: 3x -11

75 less than the product of minus 1 and the number: (-1)*x - 75 = -x -75

3x - 11 = -x -75

3x -11 +x = -75

4x - 11 = -75

4x = -75 +11

4x = -64

x = -64/4

x = -16

4 0
4 years ago
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