Question

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f ° g ) (x) ?

Answer 1

3X2 + 5
this is the answer of above question

Answer 2

Answer: The result is $3x^{2} +5.$

Step-by-step explanation: We know that, if f and g are two functions then there combination is defined as follows

(f ° g)(x)=f(g(x)).

So, to evaluate a combination of two functions, we first need to find the value of the second function for a particular number and then we will use the same technique with first function.

Therefore,

$(f(g(x)))=f(x^{2}+1 )=3(x^{2} +1)+2=3x^{2} +5.$

Thus, the required expression is $3x^{2} +5.$