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Talja [164]
2 years ago
15

If the function f(x)=mx+b has an inverse function, which statement must be true

Mathematics
2 answers:
skelet666 [1.2K]2 years ago
7 0
Im pretty sure its
m=/0 because when m is 0 then f(x) does not depend on the value of x.
Hope this helped!
Sergeu [11.5K]2 years ago
5 0

The things we know that are true based on this is that m does not equal 0 and the inverse function is f(x) = \frac{x - b}{m}.

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) = \frac{x - b}{m}.

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Answer:

Amplitude increases and the period decreases

Step-by-step explanation:

Here, we are to compare amplitude change and period change

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112

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