(f + g)(x) = 2 x²+6x+2
What is composition of function?
The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
Given function is:
f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x
So,
(f + g)(x)
= f(x)+g(x)
= 2x+2+2 x² + 4 x
=2 x²+6x+2
Hence, (f + g)(x) = 2 x²+6x+2.
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