If f:R→R f(x)=cosx and g(x)=7x3+6, then fοg(x) is
Correct Answer :
cos(7x³+6)
Solution :
The correct option is cos(7x³+6).
To find the composite function , we use the definition of function composition, which states:
We are given the following two functions:
1.
2.
To evaluate , we substitute the entire expression for in place of inside the function :
Applying the definition of :
Therefore, the composite function is:
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