If degree of f(x) =36 and degree of g (x)=20 then find degree of f(x) + g(x)?
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Answer:
degree of f(x)+g(x) is 56
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The degree of f(x) + g(x) is 56.
Given:
degree of f(x) =36
degree of g(x)=20
To find:
f(x) + g(x)
Solution:
- Function is a well defined relation between two non zero sets.
Here, f(x) and g(x) are two functions.
- The highest power of an equation is known as degree.
So, we can say that function f(x) is defined for an equation whose highest power is 36.
Similarly, we can say that function g(x) is defined for an equation whose highest power is 20.
Now, to determine the degree of f(x) + g(x) we have to add the degrees of both the functions.
Thus, degree of f(x) + g(x) = degree of f(x) + degree of g(x)
degree of f(x) + g(x) = 36 + 20
degree of f(x) + g(x) = 56
Therefore, the degree of f(x) + g(x) is 56.
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