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ArbitrLikvidat [17]
3 years ago
12

Find the inverse of the given function f(x) =2^x+6

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

f^{-1}(x) = log_2(x-6)

Step-by-step explanation:

To find the inverse f^{-1}(x) of a function follow the following steps.

1) Do y = f (x)

f(x) =y= 2 ^ x + 6

y= 2 ^ x + 6

2) Solve the equation for the variable x.

y= 2 ^ x + 6\\\\y-6 = 2^x\\\\log_2(y-6) = x\\\\x=log_2(y-6)

3) exchange the variable y with the variable x

x=log_2(y-6)\\\\y=log_2(x-6)

Finally the inverse is:

f^{-1}(x) = log_2(x-6)

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3 years ago
Use the right triangle and the given information to solve the right triangle.
Leni [432]

Answer:

a= 4.993

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b=3, B=31°

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C = 90°

A = 180-90-31

A= 59°

For side a and c

a/sin A = b /sin B

a = sinA * b/sin B

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6 0
3 years ago
Ruben put an empty cup underneath a leaking faucet. After 1 1/2 hours, Ruben had collected 1/4 cup of water. What is the rate, i
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Answer:

The rate is \frac{1}{6} cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours, i.e 1.5 or 3/2 hours to fill 1/4 cup by leaking

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Using unitary method:

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5 0
3 years ago
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