Question

If the function m not-equals 0 has an inverse function, which statement must be true?

Answer 1

Answer:

m cannot be equal to zero.

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Answer 2

The value of m cannot be zero

Step-by-step explanation:

if the function f(x) = mx+b has an inverse function then

given function: f(x) = mx+b

suppose

y = f(x)

y = mx+b

then

exchange the values we get

x=my+b

place the value of y

my=x-b

$y=\frac{x-b}{m}$

let

$f(x)^-^1 =y \\\\y=\frac{x-b}{m}\\\\inverse \\\\f(x)^-^1 =\frac{x-b}{m}$

since , the denominator m cannot be zero in inverse function

hence , The value of m cannot be zero

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