3 Answers
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y = 4x-3
interchange x and y
x = 4y -3
4y = x+3
y = (x+3)/4………….(i)
Hence f^-1 (x) =(x+3)/4……………….Ans
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f^-1(x) is simply saying what would happen if x and f(x) were switched:
f(x) = 4x – 3
(f(x) + 3)/4 = x
switch:
f^-1(x) = (x+3)/4
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f^-1 (x) = (x+3)/4
You switch the variables and solve like this:
