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vlabodo [156]
2 years ago
7

Find the domain of f(x)=square root x^2−36.

Mathematics
1 answer:
vichka [17]2 years ago
5 0
f(x)= \sqrt{x^{2}-36}   \\  \\ D: x^{2}-36 \geq 0 \\  \\ (x-6)(x+6)  \geq 0 \\  \\ x+6=0 \ \vee \ x-6=0 \\  \\ x=-6 \ \vee \ x=6 \\  \\ x\in (-\infty,-6 ) \ \cup \ (6,+\infty)
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Tan x + sqrt(3) = - 2 tan x
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4 0
3 years ago
What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)
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How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.
6 0
3 years ago
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