College

Let [tex]f[/tex] be a differentiable function such that [tex]f(3) = 4[/tex] and [tex]f'(3) = 5[/tex]. If [tex]g(x) = x^2 f(x)[/tex], what is the value of [tex]g(3)[/tex]?

A.
B.
C. 11
D. 24
E. 30
F. 69

Answer :

Final answer:

To find g(3), substitute x=3 into the equation g(x) = x²f(x). The value of g(3) is 36.


Explanation:

To find the value of g(3), we need to substitute x=3 into the equation g(x) = x²f(x). So, g(3) = 3²f(3). We know that f(3) = 4. Therefore, g(3) = 3²(4) = 36.


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