Asked by e4rf
f⁻¹(x) = 5x − 2.
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GPT-5 mini
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If f⁻¹(x) = 5x − 2, then set y = 5x − 2 and swap x and y to get x = 5y − 2. Solve for y:
x = 5y − 2
5y = x + 2
y = (x + 2)/5.
So f(x) = (x + 2)/5 = (1/5)x + 2/5. (Domain and range: all real numbers.)
x = 5y − 2
5y = x + 2
y = (x + 2)/5.
So f(x) = (x + 2)/5 = (1/5)x + 2/5. (Domain and range: all real numbers.)
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