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4 years ago

What is the answer to this equation h(x)= -9 - x; h(2k-5

Mathematics

1 answer:

dezoksy [38]4 years ago

7 0

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

#LearnwithBrainly

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