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2 years ago

If f(x) = -5x – 4 and g(x) = -3x - 2, find (f+ g)(x).

Mathematics

1 answer:

Andrej [43]2 years ago

4 0

Answer: See below

Step-by-step explanation:

(f+g)(x) is another way for saying f(x)+g(x). Since we know f(x) and g(x), we can add them together.

-5x-4+(-3x-2) [distribute the 1 to (-3x-2)]

-5x-4-3x-2 [combine like terms]

-8x-6

(f+g)(x) is -8x-6. You can also factor this.

1. Factoring

-2(4x+3)

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Assuming x > 0, which of these expressions is equivalent to 11 times the square root of 245 x to the third plus 9 times the s

ehidna [41]

The answer is 104 x times the square root of 5 x

11 times the square root of 245 x to the third plus 9 times the square root of 45 x to the third is:
 $11 \sqrt{245 x^{3} } +9 \sqrt{45 x^{3} } =11 \sqrt{245} *\sqrt{ x^{3} } +9 \sqrt{45} *\sqrt{ x^{3} }= \\ \\ =11 \sqrt{5*49} * \sqrt{ x^{2} *x} +9 \sqrt{5*9} * \sqrt{ x^{2} *x}= \\ \\ =11* \sqrt{5} * \sqrt{49} * \sqrt{ x^{2}} * \sqrt{x} +9* \sqrt{5} * \sqrt{9} * \sqrt{ x^{2} }* \sqrt{x} = \\ \\ 
=11* \sqrt{5} *7*x* \sqrt{x} +9* \sqrt{5} *3*x* \sqrt{x} = \\ \\ 
=77x* \sqrt{5*x} +27x* \sqrt{5*x} = \\ \\ 
=77x \sqrt{5x} +27x \sqrt{5x} = \\ \\ 
=104x \sqrt{5x}$

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Step-by-step explanation:

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