To find the inverse of a function, swap the variables and solve for y again. F(x) = 3x + 7 I'll change the f(x) to a y for now: y = 3x + 7 Now change the variables: x = 3y + 7 Now solve for y x - 7 = 3y y = (x - 7) / 3 And now to put it back into function notation: f? ยน(x) = (x - 7) / 3.
Let y = f (x) = 3x + 7 and g (y) = x g is inverse f 3x = y - 7 x = (y - 7) / 3 g (y) = (y - 7) / 3 g (x) = (x - 7) / 3______inverse function.
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