Question

G(n) = n² – 40

f(n) = 2n - 5
Find (gºf)(4)
A=3
B=59
C=-5
D=45
E=117

Answer 1

The value of (gof)(4) is - 31

Explanation:

Given as :

g(n) = n² - 40

f(n) = 2n - 5

So , (gof)(n) = ( 2n - 5 )² - 40

Or, (gof)(n) = 4n² - 20n +25 - 40

Or, (gof)(n) = 4n² - 20n - 15

Now At n = 4

I.e (gof)(4) = 4(4)² - 20 ( 4 ) - 15

Or, (gof)(4) = 64 - 80 - 15

Or, (gof)(4) = - 31

Hence The value of (gof)(4) is - 31 Answer