Option B is correct. If the coordinate point (5 -8) lies on the graph of the function’s inverse, f^-1(x) will be (1/5, -1/8).
Given the coordinate point (5, -8) lying on the graph f(x), in order to get the corresponding coordinates of its inverse, we will find the multiplicative inverse of each of the given coordinates
For the x-coordinate
x = 5
The multiplicative inverse of 5 is 1/5
For the y-coordinate;
y = -8
The multiplicative inverse of -8 is -1/8
Hence the point that lies on the graph of the function’s inverse, f^-1(x) will be (1/5, -1/8).
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