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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