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Strike441 [17]
3 years ago
14

If f(x) = x2 - 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

(f + g)(x) = 0 if value of x= -2

Step-by-step explanation:

f(x)=x^2-2x and g(x)=6x+4 then find

(f+g)(x)=0

We know that (f+g)(x)=0 is equal to f(x)+g(x)=0

Solving:

f(x)+g(x)=0

x^2-2x+(6x+4)=0

x^2-2x+6x+4=0

x^2+4x+4=0

Now factorizing to find value of x

x^2+2x+2x+4=0

x(x+2)+2(x+2)=0

(x+2)(x+2)=0

x+2=0 and x+2=0

x=-2 and x=-2

So, (f + g)(x) = 0 if value of x= -2

Keywords: Composition of functions

Learn more about Composition of functions at:

  • brainly.com/question/4939434
  • brainly.com/question/1774827
  • brainly.com/question/1869697

#learnwithBrainly

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3 years ago
What is the volume of the prism? 2inches, 2 1/4 and 4 inches
elixir [45]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

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»»————- ★ ————-««  

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⸻⸻⸻⸻

Assuming that the figure is a rectangular prism:

⸻⸻⸻⸻

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3 years ago
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Sergio [31]

Answer:  The equation of the circle as specified is (x+5)² + (y -1)² = 25

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subtract y-values of A & B 4-1=3 AB = 3

subtract x-values of B &C -5-(-1) =4 BC=4  3² + 4² = 9 + 16 = 25  

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The sides of the triangle are AB=3, BC=4, AC=5.

Use the equation for a circle:

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Use the coordinates of C, (-5, 1) as h and k in the equation

Substituting those values, we have (x -[-5])² + (y -[1])² = 5²

Simplify:  (x+5)² + (y -1)² = 25

A graph of the circle is attached. The radius is AC, between the center C (-5,1) and A( -1,4) on the circumference.  (Sorry, I still need to learn how to create line segments!)

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Step-by-step explanation:

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9 + 2j is the required algebraic equation.

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