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Question 4 of 10 f(x) = x. What is g(x)? f(x)= x g(x) (2, 1) x

Sagot :

[tex]f(x)=x^2[/tex]

Given the point:

[tex]\begin{gathered} (2,1) \\ x=2,g(2)=1 \\ so\colon \\ g(2)=ax^2=1 \\ a(2^2)=1 \\ solve_{\text{ }}for_{\text{ }}a\colon \\ a=\frac{1}{2^2}=\frac{1}{4} \end{gathered}[/tex]

Therefore:

[tex]g(x)=(\frac{1}{2}x)^2[/tex]