Evaluate the function

A function is shown:
f(x) = 2x² + 3x + 4

The function g(x) is given by g(x) = 3[f(x)] + 1

a.)  What is g(x) int terms of x?
b.)  What is the value of g(0)?

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a.)  What is g(x) in terms of x?

g(x) = 3[f(x)] + 1
= 3(2x² + 3x + 4) + 1  {substituted 2x² + 3x + 4 for f(x)}
= 6x² + 9x + 12 + 1   {used distributive property}
= 6x² + 9x + 13   {combined like terms}

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b.)  What is the value of g(0)?

g(x) = 6x² + 9x + 13   {from part a.}
g(0) = 6(0)² + 9(0) + 13   {substituted 0 for x}
= 13   {evaluated exponent and multiplied}