Let f(x) = 6x2 + 5 and g(x) =3x -5. Find g(f(2))

g(f(2)) = 82

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 6x² + 5

g(x) = 3x - 5

Step 2: Find g(f(2))

f(2)

Substitute:                    f(2) = 6(2)² + 5Exponents:                   f(2) = 6(4) + 5Multiply:                        f(2) = 24 + 5Add:                              f(2) = 29

g(f(2))

Substitute:                    g(29) = 3(29) - 5Multiply:                        g(29) = 87 - 5Subtract:                       g(29) = 82

The volume is 2212m cubed

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