Answer:
[tex](f*g) (x) =2x^3-13x^2-7 [/tex]
Step-by-step explanation:
We have the following functions
[tex]f (x) = 2x+1[/tex]
[tex]g (x) = x^2-7[/tex]
To find [tex](f*g)(x)[/tex] we must multiply the function f (x) with the function g (x)
Then we perform the following operation
[tex](f*g) (x) =(2x+1)(x^2-7)[/tex]
Apply the distributive property
[tex](f*g) (x) =2x^3-14x^2+x^2-7 [/tex]
[tex](f*g) (x) =2x^3-13x^2-7 [/tex]
Finally we have that:
[tex](f*g) (x) =2x^3-13x^2-7 [/tex]
