Answer:
The correct answer is: Option 3.
Step-by-step explanation:
To begin the problem asks to find [tex]f[/tex]· [tex]g[/tex] which can be defined as [tex][f*g](x)[/tex]. Now we are given that:
[tex]f(x)=-5x+3\\g(x)=6x-2[/tex]
So now we need to 'multiply' our two algebraic expressions as follow:
[tex]fg(x)=(-5x+3)(6x-2)\\fg(x)=(-5x)(6x) +(-2)(-5x)+(3)(6x)+(3)(-2)\\fg(x)=-30x^2+10x+18x-6\\fg(x)=-30x^2+28x-6[/tex] Eqn.(1)
The domain of Eqn. (1) is all real numbers of [tex]x[/tex].
Which according to the given options , Option 3 is correct.
