Math  /  Algebra

QuestionFind the inverse of the function Q(x)=2x74Q(x)=\frac{2 x-7}{4}. Show all work.

Studdy Solution
Now that we have solved for yy, we can write the inverse function. We replace yy with Q1(x)Q^{-1}(x) to denote the inverse function.
Q1(x)=4x+72Q^{-1}(x) = \frac{4x+7}{2}So, the inverse of the function Q(x)=2x74Q(x)=\frac{2x-7}{4} is Q1(x)=4x+72Q^{-1}(x) = \frac{4x+7}{2}.

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