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First of what is the inverse of FX = 2x - 3

Sagot :

ellisrmele

Answer: [tex]f^{-1}(x)=\frac{x+3}{2}[/tex]

Step-by-step explanation:

The inverse of an equation is when you switch the x-value with the y-value. The y-value is equal to f(x). So, your work will look something like this. Note the changes in bold.

f(x) = 2x - 3

f(x) = y

y = 2x - 3

x = 2y -3

x + 3 = 2y

[tex]\frac{x+3}{2}[/tex] = y

y = [tex]\frac{x+3}{2}[/tex] (here, I'm just switching it so the y-value is on the left to make it easier to read)

y = f(x)

[tex]f^{-1}[/tex](x) is the notation for inverse f(x)

So, the final equation would be written as

[tex]f^{-1}(x)=\frac{x+3}{2}[/tex]

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