SOLUTION: "verify that f and g are inverse functions"
this problem is in my math book
f(x)=2x+3 , g(x)=1/2x-3/2 <-(they're fractions)
Algebra.Com
Question 374993: "verify that f and g are inverse functions"
this problem is in my math book
f(x)=2x+3 , g(x)=1/2x-3/2 <-(they're fractions)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You are given that \ =\ 2x\ +\ 3)
and \ =\ \frac{1}{2}x\ -\ \frac{3}{2})
You want to prove that \ =\ f^{-1}(x))
Replace )
with 
Solve for 
Exchange positions of and
Replace with )
\ =\ \frac{1}{2}x\ -\ \frac{3}{2})
But note that
\ =\ \frac{1}{2}x\ -\ \frac{3}{2})
Therefore:
\ =\ f^{-1}(x))
John
My calculator said it, I believe it, that settles it
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