SOLUTION: Hi Can I have some help with the following function? A function f is given. f(x) = √6x - 8 (a) Find f -1.

Algebra ->  Equations -> SOLUTION: Hi Can I have some help with the following function? A function f is given. f(x) = √6x - 8 (a) Find f -1.      Log On


   

Question 128569: Hi Can I have some help with the following function?
A function f is given.
f(x) = √6x - 8

(a) Find f -1.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is this what the function looks like: f%28x%29=sqrt%286x-8%29 ?


f%28x%29=sqrt%286x-8%29 Start with the given equation


f%28-1%29=sqrt%286%28-1%29-8%29 Plug in x=-1


f%28-1%29=sqrt%28-6-8%29 Multiply


f%28-1%29=sqrt%28-14%29 Subtract


If you have not learned about imaginary numbers, then this is where you would stop. If you have, then...


f%28-1%29=i%2Asqrt%2814%29 Simplify the square root





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OR


Is this what the function looks like: f%28x%29=sqrt%286x%29-8 ?


f%28x%29=sqrt%286x%29-8 Start with the given equation


f%28-1%29=sqrt%286%28-1%29%29-8 Plug in x=-1


f%28-1%29=sqrt%28-6%29-8 Multiply


f%28-1%29=i%2Asqrt%286%29-8 Simplify the square root


f%28-1%29=-8%2Bi%2Asqrt%286%29 Rearrange the terms