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Ilia_Sergeevich [38]
3 years ago
12

If f(x)=3x+6 what is the inverse of f(x)

Mathematics
2 answers:
Crank3 years ago
5 0

Answer:

The inverse is 1/3x-2

Step-by-step explanation:

y = 3x+6

Exchange x and y

x = 3y+6

Solve for y

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

x/3 -6/3

1/3x -2 = y

The inverse is 1/3x-2

alukav5142 [94]3 years ago
4 0

Answer:

f^{-1} (x)=\frac{1}{3}x-2

Step-by-step explanation:

Replace f(x) with y

y=3x+6

Swap x and y

x=3y+6

Solve for y

3y=x-6

y=1/3x-2

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