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find the inverse of f(x)= 2x/(5x+6)​

Sagot :

Iilluminaughtyidn

Answer:

[tex]f(x) = \frac{2x}{5y+6}[/tex]

Step-by-step explanation:

View image Iilluminaughty
View image Iilluminaughty

Answer:

Below!

Step-by-step explanation:

f(x) = 2x/5x+6

Sub y for f(x) : y = 2x/5x+6

Swap x and y : x = 2y/5y+6

Multiply both sides by 5y+6 : 2y = (5y + 6) x

Distribute x : 2y = 5xy + 6x

Change sign : 2y - 5xy = 6x

Factor out y : (2-5x)y = 6x

Divide both sides by 2-5x : y = 6x/2-5x

Substitute for y : f^-1(x) = 6x/2-5x

Answer: f^-1(x) = 6x/2-5x

That's the best I could do with my current math knowledge, I hope it makes sense :)

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