If the function f(x)=mx+b has an inverse function, which statement must be true
2 answers:
The things we know that are true based on this is that m does not equal 0 and the inverse function is f(x) = .
We know that the slope is not 0, because there is no inverse function if this is the case.
Secondly, we can find the inverse function by switching f(x) and x and solving for the new f(x). The work for this is below.
f(x) = mx + b ----> switch f(x) and x
x = mf(x) + b ----> subtract b
x - b = mf(x) ----> divide by m
f(x) = .
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