SOLUTION: Hi, I'm having trouble understanding and solving this problem: f(x)= x-12/5 is shown. Which expression is equivalent to g(x) in the equation f(g(x))=x a.) -5/x-12 b.)5/x-12

Question 1029936: Hi, I'm having trouble understanding and solving this problem:
f(x)= x-12/5 is shown.
Which expression is equivalent to g(x) in the equation f(g(x))=x
a.) -5/x-12
b.)5/x-12
c.)5x-12
d.)5x+12
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)= x-12/5 is shown.
Which expression is equivalent to g(x) in the equation f(g(x))=x
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Since f[g(x)] = x , g(x) is the inverse of f(x).
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Determine the inverse of f(x)::
1st:: Interchange x and y to get:: x = y-12/5
2nd:: Solve for "y:: y = 5x+12
------------------
a.) -5/x-12
b.)5/x-12
c.)5x-12
d.)5x+12
----------------
Ans: d
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Cheers,
Stan H.
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