Answer:
f⁻¹(x) = -(x+4) / 5
Step-by-step explanation:
Given function is :
f(x) = -5x-4
We have to find the inverse of given function.
Step 1. Put y = f(x) in given function
y = -5x-4
Step 2. Add 4 to both sides of above equation
y+4= -5x-4+4
y+4 = -5x
Step 3.Divide by -5 to both sides of above equation
y+4 / (-5) = -5x / (-5)
-(y+4) / 5 = x
Step 4 . Swap sides
x = -(y+4) / 5
Step 5. Put x = f⁻¹(y) in above equation
f⁻¹(y) = -(y+4) / 5
Step 6. replace y with x
f⁻¹(x) = -(x+4) / 5 which is the inverse of f(x) = -5x-4.
Answer:
x² - x + 4
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>
(6x² - 10x + 9) + (-5x² + 9x - 5)
<u>Step 2: Simplify</u>
- Combine like terms (x²): x² - 10x + 9 + 9x - 5
- Combine like terms (x): x² - x + 9 - 5
- Combine like terms (Z): x² - x + 4
A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x + 162 square inches. Since the area for square is x times x then equate the given equation to the area fomula.
(x2 + 27x + 162) = 0(x + 9) (x + 18) = 0The dimensions are 9 and 18
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