Find the explicit formula. -14,-44, -74, -104, ...

Mathematics

1 answer:

Verdich [7]3 years ago

8 0

Answer:

-30

Step-by-step explanation:

subtract -104 with 74 and youll find the difference, its "-30" because its making the letting less and less

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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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Find the explicit formula. -14,-44, -74, -104, ...​

Find the explicit formula. -14,-44, -74, -104, ...