What is the inverse of the function f of x is equal to 1 fourth x minus 12 ?

Write the function as y = x/4 − 12, then swap x and y: x = y/4 − 12. Add 12 to both sides and multiply by 4 to get y = 4x + 48. Therefore, the inverse is h(x) = 4x + 48, choice B.

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