Respuesta :

Space

Answer:

f(a + 1) = a² + 2a + 2

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

  • Terms/Coefficients
  • Functions
  • Function Notation
  • Expand by FOIL

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

  1. Substitute in x [Function f(x)]:                                                                           f(a + 1) = (a + 1)² + 1
  2. Expand [FOIL]:                                                                                                  f(a + 1) = a² + 2a + 1 + 1
  3. Combine like terms:                                                                                         f(a + 1) = a² + 2a + 2

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

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