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)?
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)?
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} - Algebra House |
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} |