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tino4ka555 [31]
3 years ago
7

Match the coordinates given in the first column with their corresponding location using the following translation rule

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer: The answers are (3, 5)•—•(1, 5), (–2, –1)•—•(–3, 8), (7, 2)•—•(3, 0), and (9, –3)•—•(–8, 2), Xavier, I didn’t learn how to match the coordinates by using the following transaction rule.

Step-by-step explanation:

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f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

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g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

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