SOLUTION: Given f(x)=2x+3 and g(x)=3x-4, determine (FoG)^-1(x)

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Question 164364: Given f(x)=2x+3 and g(x)=3x-4, determine (FoG)^-1(x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given f(x)=2x+3 and g(x)=3x-4, determine (FoG)^-1(x)
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Determine fog(x)
fog(x) = f[g(x)] = f[3x-4] = 2(3x-4) + 3 = 6x-5
So you have y = 6x-5
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Determine [fog(x)]^-1:
Interchange x and y:
x = 6y-5
Solve for y:
y = (1/6)x + (5/4)
That is [fog(x)]^-1
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Cheers,
Stan H.