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urp:algebra [2021-11-08] nerf_herder [Functions] |
urp:algebra [2021-11-08] nerf_herder [Functions] |
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**quadratic formula**: x = (-b ±√(b²-4ac)) / 2a | **quadratic formula**: x = (-b ±√(b²-4ac)) / 2a | ||
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+ | **PEMBAS/BODMAS ** - order of operations: Parentheses (brackets), exponents (order), multiply/divide, add/subtract | ||
==== System of equations==== | ==== System of equations==== | ||
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composition of functions: (f’g)(x) = f(g(x)), order of evaluation is important | composition of functions: (f’g)(x) = f(g(x)), order of evaluation is important | ||
- | inverse of function - only possible if no two values of x produce the same result | + | **Inverse** of a function - only possible if no two values of x produce the same result |
Example: To find f⁻¹(x) for f(x) = 5x + 3 | Example: To find f⁻¹(x) for f(x) = 5x + 3 | ||
y = 5x + 3 | y = 5x + 3 |