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Olegator [25]
3 years ago
14

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

Mathematics
1 answer:
Triss [41]3 years ago
8 0
f(x)=-4x+7\\
g(x)=10x-6\\\\\Substitute\ x=10x-6\ to\ f(x)\\
f(g(x))=-4(10x-6)+7\\
f(g(x))=-40x+24+7=-40x+31\\\\\
Solution\ is\ f(g(x))=-40x+31.
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Answer:

(x-1)^2+(y-2)^2=6.25

Step-by-step explanation:

The equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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