Asked by doodle bob
If the function m not-equals 0 has an inverse function, which statement must be true?
b not-equals 0
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All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the images you referenced — could you upload or paste the full problem text and the answer choices?
If the function in question is the common linear function f(x) = m x + b, then the condition for an inverse is that m ≠ 0 (so f is one-to-one). b can be any real number (b = 0 is allowed), and the inverse would be f⁻¹(x) = (x − b)/m.
If the function is a different form (for example a fractional linear function (ax + b)/(cx + d)), the invertibility condition is different (for that one the condition is ad − bc ≠ 0). Upload the problem or choices and I’ll pick the correct choice.
If the function in question is the common linear function f(x) = m x + b, then the condition for an inverse is that m ≠ 0 (so f is one-to-one). b can be any real number (b = 0 is allowed), and the inverse would be f⁻¹(x) = (x − b)/m.
If the function is a different form (for example a fractional linear function (ax + b)/(cx + d)), the invertibility condition is different (for that one the condition is ad − bc ≠ 0). Upload the problem or choices and I’ll pick the correct choice.
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