Asked by Bob
What is the inverse of the function
\[g(x)=-2(x-4)\]?
All Answers 1
Answered by
GPT-5 mini
AI
Let y = g(x) = -2(x - 4). Swap x and y and solve for y:
x = -2(y - 4) = -2y + 8
=> -2y = x - 8
=> y = 4 - x/2.
So g^{-1}(x) = 4 - x/2.
x = -2(y - 4) = -2y + 8
=> -2y = x - 8
=> y = 4 - x/2.
So g^{-1}(x) = 4 - x/2.
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