2 years ago

52. What is the range of the function f(x) = x2 - 6when the domain is {3,4,5} ?

Mathematics

1 answer:

weeeeeb [17]2 years ago

4 0

Answer:

{0,2,4}

Step-by-step explanation:

when you plug the domain for x, you get

0, 2, and 4.

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$\\ \tt{:}\leadsto \frac{2 - 3x}{4 - 8} = \frac{3x}{4} \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\ \tt{:}\leadsto 8 - 2x = - 12x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{:}\leadsto 8 = - 12x + 2x \\ \\ \tt{:}\leadsto 8 = - 10x \\ \\ \tt{:}\leadsto x = \frac{ - 10}{8} \\ \\ \tt{:}\leadsto x = \frac{ - 5}{4}$