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The inverse of (x-5)²=y+2​

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Answer:f(x)=(x−5)2

Explanation:

Write f(x)=(x−5)2f(x)=(x-5)2 as an equation.y=(x−5)2y=(x-5)2

Interchange the variables.x=(y−5)2x=(y-5)2

Solve for yy. steps...y=√x+5y=x+5y=−√x+5y=-x+5

Replace yy with f−1(x)f-1(x)

to show the final answer.f−1(x)=√x+5,−√x+5f-1(x)=x+5,-x+5Verify if f−1(x)=√x+5,−√x+5f-1(x)=x+5,-x+5 is

the inverse of f(x)=(x−5)2f(x)=(x-5)2.

User Lucas Pottersky
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