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Let f(x) = 5x^3 + 7x^2 + 4x - 5. Write a function g that reflects f(x) across the y-axis.

Sagot :

[tex]f(x)\xrightarrow{S_{OY}}g(x)=f(-x)\\-----------------\\f(x)=5x^3+7x^2+4x-5\\\downarrow S_{OY}\\g(x)=f(-x)=5(-x)^3+7(-x)^2+4(-x)-5=-5x^3+7x^2-4x-5\\\\Answer:\boxed{g(x)=-5x^3+7x^2-4x-5}[/tex]
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