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Studentka2010 [4]
3 years ago
9

Which function is the inverse of f(x) = 2x + 3?

Mathematics
2 answers:
creativ13 [48]3 years ago
4 0

Answer: The answer would be f^-1 (x) = x/2 - 3/2

Allisa [31]3 years ago
4 0

Answer:

y=\frac{x-3}{2}

Step-by-step explanation:

The given function is

f(x)=2x+3

To find the inverse of this function, we have to replace f(x) for y, and then isolate x, as follows

y=2x+3\\y-3=2x\\2x=y-3\\x=\frac{y-3}{2}

Then, we have to switch variables, as follows

y=\frac{x-3}{2}

Therefore, the inverse of the given function is

y=\frac{x-3}{2}

The graph attached shows both functions. The blue line is the inverse of f(x)

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