Question

The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. what values of a, b, and c complete the table for the inverse function?

Answer 1

The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The inverse of the logarithmic function $f(x) = \log_{0.5} x$ is $f^{-1}(x) = 0.5^x$

For x = −1 in the inverse function, then the value of a will be

$f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2$

The value of a is 2.

For x = 0 in the inverse function, then the value of b will be

$f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1$

The value of b is 1.

For x = 2 in the inverse function, then the value of c will be

$f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25$

The value of c is 2.

More about the function link is given below.

brainly.com/question/5245372

Answer 2

Answer:

a.2

b.1

c.0.25

Second part: Graph B (2nd) one

Step-by-step explanation: