The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an
inverse function.
1 answer:
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1. C = ⁵/₉F - 32
9C = 9(⁵/₉F - 32)
9C = 9(⁵/₉F) - 9(32)
9C = 5F - 288
- 5F - 5F
9C - 5F = -288
- 9C - 9C
-5F = -9C - 288
-5 -5
F = 1⁴/₅C + 57.6
2.
3. A = 5 + 4√x
- 5 - 5
A - 5 = 4√x
(A - 5)² = (4√x)²
A² - 10A + 25 = 16x
16 16
¹/₆A² - ⁵/₈A + 1⁹/₁₆ = x
4.
9C = 9(⁵/₉F - 32)
9C = 9(⁵/₉F) - 9(32)
9C = 5F - 288
- 5F - 5F
9C - 5F = -288
- 9C - 9C
-5F = -9C - 288
-5 -5
F = 1⁴/₅C + 57.6
2.
3. A = 5 + 4√x
- 5 - 5
A - 5 = 4√x
(A - 5)² = (4√x)²
A² - 10A + 25 = 16x
16 16
¹/₆A² - ⁵/₈A + 1⁹/₁₆ = x
4.