Question

Let ƒ(x) = 5x − 4 and g(x) = x2 - 1. Find (ƒ ○ g)(2).

Answer 1

(f ○g ) (2)= 11

Step-by-step explanation:

(f ○g ) (x)= (f(g(x))

= 5( x² -1) – 4

= 5x² – 5 – 4

= 5x² – 9

(f ○g ) (2)= (f(g(2)) = 5 (2)² – 9 = 5(4) – 9 = 20 – 9 = 11

I hope I helped you^_^

Answer 2

The resulting value of the composite function  is (ƒ ○ g)(2) is 11

Given the functions below

ƒ(x) = 5x − 4  

g(x) = x² - 1

Get the composite function (ƒ ○ g)(x)

(ƒ ○ g)(x) = f(g(x))

f(g(x)) = f( x^2 - 1)

f( x^2 - 1) = 5(x²-1)-4

f(g(x)) = 5(x²-1)-4

Substitute x = 2 into the expression to get (ƒ ○ g)(2).

(ƒ ○ g)(2)=  5(2²-1)-4

(ƒ ○ g)(2) = 5(3) - 4

(ƒ ○ g)(2) = 15 - 4

(ƒ ○ g)(2) = 11

Hence the resulting value of the composite function  is (ƒ ○ g)(2) is 11

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