Answer: 32x-68
Step-by-step explanation:
(f•g) is equal to f(gx)
f(x)=4(2x-5)+3
Which is 8x-20+3=8x-17
Now multiply by 4.
4(8x-17)
= 32x-68
Answer: 57 square units.
Step-by-step explanation:
Given : The function [tex]f(x) =4x+3[/tex] represents the length of a rectangle.
The function [tex]g(x)=2x-5[/tex] represents the width of the rectangle.
Then , the area of the rectangle is given by :_
[tex]A=(f\cdot g)(x)=f(x)\cdot g(x)\\\\=(4x+3)(2x-5)[/tex]
At x= 4,
[tex]A=(f\cdot g)(4)=(4(4)+3)(2(4)-5)\\\\=(16+3)(8-5)=19\times3=57[/tex]
Hence, the area of a rectangle = 57 square units.
