The answer is h(2k - 5) = -4 - 2k
Step-by-step explanation:
In a function f(x) = y, we can find the value of y for any given value of x
Examples:
- If f(x) = 2x - 3, and we need to find f(3), that means substitute x by 3 in f(x), so f(3) = 2(3) - 3 = 6 - 3 = 3, that means f(x) = 3 at x = 3
- If f(x) = 8 - 5x, and we need to find f(a - 2), substitute x by (a - 2) in f(x), so f(a - 2) = 8 - 5(a - 2) = 8 - 5a + 10 = 18 - 5a, that means f(a - 2) = 18 - 5a at x = a - 2
∵ h(x) = -9 - x
- We need to find h(2k - 5), that means substitute x by 2k - 5
∵ x = 2k - 5
∴ h(2k - 5) = -9 - (2k - 5)
- Simplify the right hand side
∴ h(2k - 5) = -9 - 2k - (-5)
- Remember (-)(-) = (+)
∴ h(2k - 5) = -9 - 2k + 5
- Add the like terms in the right hand side
∴ h(2k - 5) = (-9 + 5) - 2k
∴ h(2k - 5) = -4 - 2k
The answer is h(2k - 5) = -4 - 2k
Learn more:
You can learn ore about the functions in brainly.com/question/5337932
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