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Answer :
Final answer:
To solve f(g(0)), we first calculate g(0)=4. Substituting 4 in place of x in f(x), we get the answer A. 42.
Explanation:
The question asks for f(g(0)). To solve this problem, we first need to find the value of g(0). Here, x=0 in g(x)=4-x², we substitute and get g(0)=4. We then use this value in the equation f(x), which gives us f(g(0))=f(4). Substituting x=4 in f(x)=9x+6, we get f(4)=42. Therefore, the answer is A. 42.
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.
function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
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