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Elanso [62]
3 years ago
7

Solve for y. pls help

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

y=  -6

Step-by-step explanation:

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What is the inverse of the function below?<br><br> f(x) = 2^x + 6
Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



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f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



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f(x) = \frac{Log(x + 6)}{Log2}



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