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3 years ago

I need help with this question

Mathematics

1 answer:

Gekata [30.6K]3 years ago

8 0

Answer:

Option C is correct.

Step-by-step explanation:

We have been given the two graphs of the following function:

$f(x)=x^2$

And g(x) we need to tell from the graph given.

We can see that the graph g(x) is downward parabola that means it has to have negative coefficient of x.

And shifting is 3 units down

So, from the graph of g(x)

g(x) will be: $g(x)=-x^2-3$

Therefore, option C is correct.

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F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f

olasank [31]

Answer:

{ -0.5 - √2, 0, -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here. Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1. Then the two roots of this quadratic are:

-1 plus or minus √(1^2 - 4(2)(1) ) -1 ± √(8)

x = ----------------------------------------------- = ---------------

2(1) 2

This simplifies to:

-1 plus or minus √(1^2 - 4(2)(1) ) -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

2(1) 2

Thus, the roots of f(x) - g(x) are { -0.5 - √2, 0, -.5 + √2 }

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3 years ago

I need an explantion on this question

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Y= -x + 2 and y= 3x - 4
As these both equal y, you know that they both equal each other so
-x + 2 = 3x - 4
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