Q. What is the inverse of the function y =  1 - x - 3 5 1 / 7 ?

Dear Student,
y = 1 - x - 3517 y7 = 1 - x - 35 x - 35 = 1 - y7 x - 3 = 1 - y75 x = 3 + 1 - y75Let gy = 3 + 1 - y75Then, fogy = fgy = f3 + 1 - y75 = 1 - 3 + 1 - y75 - 3517 = 1 - 1 - y75517 = 1 - 1 + y717 = y = IYand, gofx = gfx = g1 - x - 3517 = 3 + 1 - 1 - x - 351775 = 3 + 1 - 1 + x - 355 = 3 + x - 3 = x = IXHence, g = f-1.

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