SOLUTION: Given the function f(x) = 0.3(4)x, what is the value of f−1(6)?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Given the function f(x) = 0.3(4)x, what is the value of f−1(6)?      Log On


   

Question 934843: Given the function f(x) = 0.3(4)x, what is the value of f−1(6)?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Given: if you mean f%28x%29+=+0.3%284%29x, what is the value of +f%5E-1%286%29?

as f%28x%29+=+0.3%2A4+%2Ax = > f%28x%29+=1.2x
f%28x%29+=y
y+=+1.2x ...swap x and y
x+=+1.2y ....solve for y
y+=+x%2F1.2
+f%5E-1%28x%29=x%2F1.2
then
+f%5E-1%286%29=6%2F1.2
+f%5E-1%286%29=5