Question

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

0.565

1.140

1.771

2.402

Answer 1

Explanation:

The answer is 2.402.

i know this from taking the test

Answer 2

The value of the given expression is:

2.402

Explanation:

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

`f(x)=0.5* 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* 3^x=7\\\\3^x=(7)/(0.5)\\\\3^x=14\\\\x\log 3=\log 14\\\\x=(\ln 14)/(\ln 3)\\\\x=2.402`

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

2.402