Answer:
After solving we get (f.g)(5)=-115
But the correct option is not given in the question.
Step-by-step explanation:
We are given:
[tex]f(x) = 4x+3\\g(x)=-2x+5[/tex]
We need to find (f.g)(5)
First we will multiply f and g to find (f.g) i.e
[tex](f.g)(x)= f(x) \times g(x)\\(f.g)(x) = (4x + 3)(-2x + 5)\\(f.g)(x)=4x(-2x+5)+3(-2x+5)\\(f.g)(x)=-8x^2+20x-6x+15\\(f.g)(x)=-8x^2+14x+15\\[/tex]
Now putting x=5
[tex](f.g)(x)=-8x^2+14x+15\\Put \ x=5\\(f.g)(5)=-8(5)^2+14(5)+15\\(f.g)(5)=-8(25)+70+15\\(f.g)(5)=-200+70+15\\(f.g)(5)=-115[/tex]
So, after solving we get (f.g)(5)=-115
But the correct option is not given in the question.
