Question

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

Answer 1

Answer:

g(f(2)) = 82

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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)

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

g(f(2))

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