The value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25
The inverse function of a function is defined if f is a function that undoes the operation [tex]f^{-1}[/tex]
The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]f^{-1}[/tex] .
It is given that the function [tex]\rm F(x)=Log_{0.5}x[/tex] is and its inverse is
[tex]f^{-1}(x)=0.5^x[/tex] .
Substitute the value of x= -1 in a given inverse function and calculate the value of a.
[tex]f^{-1}(x)=0.5^x[/tex]
[tex]f^{-1}(-1)=0.5^{-1}[/tex]
[tex]f^{-1}(-1)=2[/tex]
Substitute the value of x is 0 in the given inverse function.
[tex]f^{-1}(x)=0.5^x[/tex]
[tex]f^{-1}(0)=0.5^0[/tex]
[tex]f^{-1}(0)=1[/tex]
Substitute the value of x is 2 in the given inverse function.
[tex]f^{-1}(x)=0.5^x[/tex]
[tex]f^{-1}(2)=0.5^2[/tex]
[tex]f^{-1}(2)=0.25[/tex]
Thus the value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25
To know more about the Inverse function follow
https://brainly.com/question/20538141
Answer:
a = 2
b = 1
c = 0.25
Which graph shows the logarithmic function
f(x) = log0.5x ?
B.
Step-by-step explanation:
did it on ED :)
