[2]
c) $f^{-1}(x)=\frac{1}{4} x-10$

Answer

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Answer

Final Answer: $\boxed{48}$

Steps

Step 1 ：Switch the roles of x and y in the function: $x = \frac{1}{4} y - 10$

Step 2 ：Solve for y: $y = 4(x + 10)$

Step 3 ：Write the inverse function: $f^{-1}(x) = 4(x + 10)$

Step 4 ：Evaluate the inverse function at 2: $f^{-1}(2) = 4(2 + 10)$

Step 5 ：$f^{-1}(2) = 4(12)$

Step 6 ：Final Answer: $\boxed{48}$