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hodyreva [135]
3 years ago
9

I need help with this function

Mathematics
1 answer:
viva [34]3 years ago
5 0
f(x)=3x^2+1\\
g(x)=2x+2\\\\
y=2x+2\\
2x=y-2\\
x=\dfrac{1}{2}y-1\\
g^{-1}(x)=\dfrac{1}{2}x-1\\\\
(f\cdot g)(x)=f(x)\cdot g(x)\\\\
(f\cdot g^{-1})(2)=(3\cdot2^2+1)(2\cdot2+2)\\
(f\cdot g^{-1})(2)=(12+1)\cdot6\\
(f\cdot g^{-1})(2)=13\cdot6\\
(f\cdot g^{-1})(2)=78

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3 years ago
Read 2 more answers
Traveling from San Antonio to Dallas, you fist pass through Austin and then Waco before reading Dallas, a total distance of 280
pshichka [43]
The answer is 70 miles.

If we express distances as following:
T - total distance
a - distance from <span>San Antonio to Austin
b - </span>distance from <span>Austin to Waco
c - </span>distance from <span>Waco to Dallas
Then:
T = 280 mi
b = a - 30 mi        </span>⇒ a = b + 30<span>
b = c + 20 mi       </span>⇒ c = b - 20<span>

T = a + b + c
</span>⇒ a + b + c = 280
⇒ b + 30 + b + b - 20 = 280
⇒ 3b +10 = 280
⇒ 3b = 280 - 10
⇒ 3b = 270
⇒ b = 90 mi.

Distance from <span>Waco to Dallas is c.
</span><span>c = b - 20
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⇒ c = 70 mi

Therefore, distance from <span>Waco to Dallas is 70 miles.</span>
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