For the function k times x is equal to negative 1 over 16 x minus 8 , what is the inverse function k inverse times x ?

Write the function as y = −x/16 − 8, then interchange x and y: x = −y/16 − 8. Add 8 to both sides and multiply by −16 to solve for y, giving y = −16(x + 8). Therefore, the inverse is k⁻¹(x) = −16(x + 8), choice D.

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