The function g(x) can be expressed as the inverse of f(x) as;
g(x) = ¼x - 3
<h3>Inverse Functions</h3>
Complete question is;
If g(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x)?
- Now, for us to find the inverse of a function, we need to make the output the subject of the formula first and then switch the input and new output values.
Thus;
f(x) = 4x + 12
Thus;
(f(x) - 12)/4 = x
x = ¼f(x) - 3
Thus, switching as said above, we now have;
g(x) = ¼x - 3
Read more about inverse functions at;brainly.com/question/8824268
Answer:
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