Question

The function f(x) = 4x + 30 represents the length of a rectangle. The function g(x) = x - 1 represents the width of the rectangle. Use (fºg)

(5) to determine the area of the rectangle.
04
46
O 50
O 200

Answer 1

46

Explanation:

Answer 2

The answer is 46

Explanation:

f(x) = 4x + 30

g(x) = x - 1

In order to find (fºg)(5) first find ( f • g)(x)

To find ( f • g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)

So we have

( f • g)(x) = 4(x -1) + 30

= 4x - 4 + 30

( f • g)(x) = 4x + 26

To find (fºg)(5) substitute the value of x that's 5 into (f • g)(x)

That's

(fºg)(5) = 4(5) + 26

= 20 + 26

We have the final answer as

(fºg)(5) = 46

Hope this helps you