maddy90755 maddy90755

12-03-2021
Mathematics

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Given f(x)=(1/2x)-5, find f^-1(x).

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12-03-2021

Answer:

[tex]f^{-1}[/tex](x)=2x+10

Step-by-step explanation:

f(x)=[tex]\frac{x}{2}[/tex]-5

Let y= [tex]\frac{x}{2}[/tex]-5

y= [tex]\frac{y}{2}[/tex]-5

x+5= [tex]\frac{y}{2}[/tex]

Both side multiple 2,

2x+10=y

[tex]f^{-1}[/tex](x)=2x+10

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