Respuesta :
Answer:
[tex]g(x)=\frac{x-12}{4}[/tex]
Step-by-step explanation:
To find the inverse of y=4x+12, all you need to is swap x an y and then remake y the subject.
y=4x+12
Swap x and y:
x=4y+12
Solve for y:
Subtracting 12 on both sides:
x-12=4y
Dividing 4 on both sides:
[tex]\frac{x-12}{4}=y[/tex]
So [tex]g(x)=\frac{x-12}{4}[/tex]
Answer:
[-12 + x]\4 = g(x)
Step-by-step explanation:
- x = 4y + 12 [SWAP y and x]
- -12 + x = 4y [Move -12 to the left side of the equivalence symbol]
- [-12 + x]\4 = g(x) [Divide by 4]
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