Answer:
f(42) = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x/3 - 2
f(42) is x = 42
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(42) = 42/3 - 2
- Divide: f(42) = 14 - 2
- Subtract: f(42) = 12
The required value of δ = 1/4.
0< |x-1| < δ
| f(x) - 4 | < 1/2 where f(x) = 6 - 2x
<h3>What are inequalities?</h3>
Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation
now
| f(x) - 4 | < 1/2
|6 - 2x - 4 | <1/2
| 2-2x | < 1/2
| 1 - x | < 1/4
| x - 1 | < 1/4
since modulus function always give positive values.
0 < | x - 1 | < 1 /4
The required value of δ = 1/4.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ1
-19x-14 (I think, not sure ).