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If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).


If Fx 3x 2 And Gx X2 1 Find F 9x class=

Sagot :

Space

Answer:

A. x² + 3x - 1

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

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = x² + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

  1. Substitute in functions:                                                                                     (f + g)(x) = 3x - 2 + x² + 1
  2. Combine like terms:                                                                                         (f + g)(x) = x² + 3x - 1

Answer:

D. x² + 3x + 1

Step-by-step explanation:

Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1

Find :- ( f + g ) ( x )

Solution :-

  • plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.

( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))

  • remove unnecessɑry pɑrɑntheses

( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )

  • combine like terms

( f + g ) ( x ) = ( x² + 3x - 1 )

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