we have
\(f(x)=mx+b\)
Find the inverse of f(x)
Let
\(y=f(x)\)
\(y=mx+b\)
Exchanges the variables x for y and y for x
\(x=my+b\)
isolate the variable y
\(my=x-b\)
\(y=\frac{x-b}{m}\)
Let
\(f(x)^{-1} =y\)
\(f(x)^{-1}=\frac{x-b}{m}\) -----> inverse function
Hence
In the inverse function the denominator can not be zero, therefore the value of m can not be equal zero
the answer is the option
\(m
eq 0\)
