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Whats is 6(x)=2x-10 its a inverse function

User Eterm
by
6.6k points

1 Answer

4 votes

Answer:


G(x)^(-1)=(x+10)/(2)

Step-by-step explanation:

The function we have is:


G\left(x\right)=2x-10

To find the inverse function, we have to solve for x.

Step 1: add +10 to each side of the equation


\begin{gathered} G(x)+10=2x-10+10 \\ G(x)+10=2x \end{gathered}

Step 2: Divide both sides of the equation by 2


(G(x)+10)/(2)=x

Step 3: Change G(x) for x, and x for G(x)^-1:


(x+10)/(2)=G(x)^(-1)

This is the inverse function.

User Pewh Gosh
by
6.1k points
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