Answer:
d. [tex]4x^2-7[/tex]
Step-by-step explanation:
The given functions are
[tex]f(x)=4x+1[/tex] and [tex]g(x)=x^2-2[/tex]
We want to find the composition of the f and g.
[tex]f(g(x))=f(x^2-2)[/tex]
We substitute [tex]x^2-2[/tex] into [tex]f(x)=4x+1[/tex] to obtain;
[tex]f(g(x))=4(x^2-2)+1[/tex]
This simplifies to;
[tex]f(g(x))=4x^2-8+1[/tex]
[tex]f(g(x))=4x^2-7[/tex]
Hence the correct choice is d.
