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nikitadnepr [17]
2 years ago
11

F(x) = x+3 and g(x) = x^2 - 2. (f -g)(3t)

Mathematics
1 answer:
Svetllana [295]2 years ago
5 0

Answer:

(f - g)(x) = (x+3) – ( x² –2)

= (x+3) + ( - x²+2)

= – x²+x +5

(f -g)(3t) = - (3t)² + (3t)+5

= - 9t²+3t+5

I hope I helped you^_^

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PLEASE HELP NOW!<br> (-2, -4) and (-3, -3) in a linear equation
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The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

  • Find the slope of the line by using the formula m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • Then use the slope-intercept form of the equation y = m x + b
  • To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵  Points (-2 , -4) and (-3 , -3) lie on the line

∴ x_{1} = -2 and x_{2} = -3

∴ y_{1} = -4 and y_{2} = -3

- Substitute these values in the formula of the slope

∵ m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}

∴ m = -1

∵ The form of the equation is y = m x + b

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To find b substitute x and y in the equation by the coordinates of

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∴ -3 = -(-3) + b

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∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

Learn more:

You can learn more about linear equation in brainly.com/question/4326955

#LearnwithBrainly

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3 years ago
Simplify 2√2-√3<br> ---------------<br> √2+√3
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Step-by-step explanation:

=  \frac{2 \sqrt{2}   -  \sqrt{3} }{ \sqrt{2} +  \sqrt{3}  }

=  \frac{2 \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} +  \sqrt{3}  }  \times  \frac{ \sqrt{2} -  \sqrt{3}  }{ \sqrt{2} -  \sqrt{3}  }

= \frac{ 2( \sqrt{2}  -  \sqrt{3} )( \sqrt{2}  -  \sqrt{3} )}{ { \sqrt{2} }^{2} -  { \sqrt{3} }^{2}  }

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=  \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}

=  \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}

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