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.