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if f(x) = 3x^2 – 2 and g(x) = 4x + 2, what is the value of (f + g)(2) ?

20  

Step-by-step explanation:

ƒ(x) = 3x² – 2

g(x) = 4x + 2

1. Add the functions

By definition,  

(ƒ + g)(x) = ƒ(x) + g(x)

3x²          - 2

      + 4x + 2

3x² + 4x

(ƒ + g)(x) = 3x² + 4x

2. Evaluate (ƒ + g)(2)

(ƒ + g)(2) = 3(2)² + 4(2) = 3(4) + 8 = 12 + 8 = 20

Step-by-step explanation:

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