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Answer :
Final answer:
To find the inverse of the function f(c) = 95c + 32, we swap the variables and solve for the new dependent variable, which yields the inverse function f^(-1)(c) = (c - 32)/95. So the option number C is correct.
Explanation:
The question asks for the inverse of the function f(c) = 95c + 32. To find the inverse of a function, we swap the dependent and independent variables and solve for the new dependent variable. Let's go through the steps:
- Start with the original function: f(c) = 95c + 32.
- Replace f(c) with y: y = 95c + 32.
- Swap y and c: c = 95y + 32.
- Solve for y: y = (c - 32) / 95.
Therefore, the inverse function is f^(-1)(c) = (c - 32)/95, which corresponds to option a.
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