Answer: [tex](f*g)(1)=28[/tex]
Step-by-step explanation:
To solve the exercise you need to apply the proccedure shown below:
- You must multiply the functions given in the problem. Then:
[tex](f*g)(x)=(-3x - 4)(2x-6)\\(f*g)(x)=-6x^2+18x-8x+24\\(f*g)(x)=-6x^2+10x+24[/tex]
- Now, you must susbtitute x=1 into (f*g)(x), and simplify the function, as you can see below. Therefore, you obtain:
[tex](f*g)(1)=-6(1)^2+10(1)+24\\(f*g)(1)=-6+10+24\\(f*g)(1)=28[/tex]
