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____ [38]
3 years ago
13

I need answer ASAP If f(x) = 2x+1 and g(x) = 3x-2 Find f[g(1)] =

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

f[g(1)] = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x + 1

g(x) = 3x - 2

<u>Step 2: Find g(1)</u>

  1. Substitute in <em>x</em>:                    g(1) = 3(1) - 2
  2. Multiply:                               g(1) = 3 - 2
  3. Subtract:                              g(1) = 1

<u>Step 3: Find f[g(1)]</u>

  1. Substitute in g(1):                    f[g(1)] = 2(1) + 1
  2. Multiply:                                   f[g(1)] = 2 + 1
  3. Add:                                         f[g(1)] = 3
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we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

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Now, the pounds for each kind of box is:

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Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

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Put that value into either equation (now, which is easier?) to solve for x:

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Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

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       4200 = 4200 ? yes

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