Answer: f^-1(x)= - 1/5x - 4/5
Explanation:
substitute y for f(x): y= -5x-4
interchange x and y: x=-5y-4
swap the sides: -5y-4=x
move the constant -5y=x+4
divide both sides by 5 y= - 1/5x - 4/5
substitute f^-1(x) for y f^-1(x)= - 1/5x - 4/5
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