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Montano1993 [528]
3 years ago
5

Given f(x) = x − 7 and g(x) = x2 . What does f(g(4)) =

Mathematics
2 answers:
torisob [31]3 years ago
8 0

Answer:

f(g(4)) = 9

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> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation
  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = x - 7

g(x) = x²

<u>Step 2: Find f(g(4))</u>

  1. Substitute in <em>x</em> [Function g(x)]:                                                                         g(4) = 4²
  2. Evaluate exponents:                                                                                        g(4) = 16
  3. Substitute in <em>x</em> [Function f(x)]:                                                                          f(g(4)) = 16 - 7
  4. Subtract:                                                                                                            f(g(4)) = 9
Stells [14]3 years ago
3 0

Answer:

9

Step-by-step explanation:

f(x) = x − 7

g(x) = x^2

Find g(4) = 4^2 = 16

Then find f(g(4)) = f(16) = 16 -7 = 9

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
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The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
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