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viktelen [127]
3 years ago
13

The function f(x) =4x+3 represents the length of a rectangle. The function g(x)=2x-5 represents the width of the rectangle.Use (

f•g)(4) to determine the area of a rectangle
Mathematics
2 answers:
nata0808 [166]3 years ago
6 0

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

beks73 [17]3 years ago
6 0

Answer: 57 square units.

Step-by-step explanation:

Given : The  function f(x) =4x+3  represents the length of a rectangle.

The function g(x)=2x-5 represents the width of the rectangle.

Then , the area of the rectangle is given by :_

A=(f\cdot g)(x)=f(x)\cdot g(x)\\\\=(4x+3)(2x-5)

At x= 4,

A=(f\cdot g)(4)=(4(4)+3)(2(4)-5)\\\\=(16+3)(8-5)=19\times3=57

Hence, the area of a rectangle = 57 square units.

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