Question

Given f(x) = x3 - 9x and g(x) = x², choosethe expression for (fºg)(x).Click on the correct answer.(X3 – 9x)2Xo_99²x5 813x2 - 9x

Answer 1

We have,

$\begin{gathered} f(x)=x^3-9x \\ g(x)=x^2 \end{gathered}$

To find (fºg)(x), we need to solve f(g(x)),

$(f\circ g)(x)=f(g(x))=(x^2)^3-9(x^2)=x^6-9x^2$