What is the inverse of the function f(x) = 2x - 10?
2 answers:
Answer:
f⁻¹(x) = (x + 10)/2
General Formulas and Concepts:
<u>Algebra I</u>
- Equality Properties
- Inverse Functions
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x - 10
<u>Step 2: Rewrite</u>
- Redefine: y = 2x - 10
- Swap x/y: x = 2y - 10
<u>Step 3: Find Inverse</u>
<em>Solve for the new y.</em>
- Add 10 to both sides: x + 10 = 2y
- Divide 2 on both sides: (x + 10)/2 = y
- Rewrite: y = (x + 10)/2
- Redefine: f⁻¹(x) = (x + 10)/2
Answer:

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