Answer:
[tex]g(x)=-x^{3}-2x+3[/tex]
Explanations:
Given the parent function f(x)= x^3 +2x+3. If this function is reflected across the y-axis, hence the resulting function g(x) will be expressed as:
[tex]g(x)=f(-x)=(-x)^3+2(-x)+3[/tex]
Simplify to determine the resulting function g(x)
[tex]g(x)=-x^3-2x+3[/tex]
This gives the required rule for the function g(x)
