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Scrat [10]
3 years ago
9

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)?

Mathematics
2 answers:
padilas [110]3 years ago
8 0

Answer:

The value of the given expression is:

2.402

Step-by-step explanation:

We are given a exponential function f(x) which is represented by:

f(x)=0.5\times 3^x

We are asked to find the value of the inverse function at 7.

i.e. we are asked to find:

f^{-1}(7)

In other words we may say that we are asked to find the value of x when f(x)=7.

i.e.

0.5\times 3^x=7\\\\3^x=\dfrac{7}{0.5}\\\\3^x=14\\\\x\log 3=\log 14\\\\x=\dfrac{\ln 14}{\ln 3}\\\\x=2.402

Hence, the value of f^{-1}(7) is:

2.402

Yuliya22 [10]3 years ago
5 0

Answer:

Step-by-step explanation:

The answer is 2.402.

i know this from taking the test

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