The required fog ( x ) = 3x² + 5. Option D is correct.
Given that,
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x) is to be determined.
What are functions?
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Here,
f( x ) = 3x + 2
g( x ) = x² + 1
fog ( x ) = f( g( x ) )
Same as substituting the value of x we substitute a function g inside the function f.
fog ( x ) = 3 (x² + 1) + 2
fog ( x ) = 3x² + 5
Thus, the required fog(x) = 3x² + 5. Option D is correct.
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