Question

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

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

The answer is 2.402.

i know this from taking the test