The equivalent value for the expression f(g(2) is -46
Composite functions are also known as function of a function.
Given the functions below;
f(x)= 4x+2
G(x) = -2x^2-4
Determine the composite function f(g(x))
f(g(x)) = f(-2x^2-4)
f(-2x^2-4) = 4(-2x^2 - 4) + 2
f(-2x^2-4) = -8x^2 - 16 + 2
f(-2x^2-4) = -8x^2 - 14
Substitute x = 2 into the functions
f(g(2)) = -8(2)^2 - 14
f(g(2) = -32 - 14
f(g(2) = -46
Hence the equivalent value for the expression f(g(2) is -46
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