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3 years ago

WILL MARK BRAINLIEST

Mathematics

1 answer:

Zanzabum3 years ago

8 0

Answer:

A.) (x + 2) and (2x - 1)

Step-by-step explanation:

So from the video i just watch this is how its done

3 (2x^2 + 3x - 2) = 0

4 and -1 gives you 3 and you divide them by a which is 2

4/2 (2/1) and -1/2 then you write them from the bottom to top

(x + 2) and (2x - 1)

Answer:

B.) 20 (x + 5) (x - 5) = 0

Step-by-step explanation:

20 (x^2 - 25) = 0

20 (x + 5) (x - 5) = 0

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F(x) = x^2. What is g(x)?

sashaice [31]

Answer:

D. just sub x = 1, and if the y you get is 5 then that's the answer

5 0

3 years ago

4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* Lets use these steps to solve the problems

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ The functions are inverses to each other

* Now lets find f(g(x))

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ f(g(x)) = x

∴ The functions are inverses; f(g(x)) = x

* Lets find the inverse of h(x)

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

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3 years ago

Solve for x. Write the smaller solution first, and the larger solution second.

xeze [42]

Answer:

x= 1 or x=7

Step-by-step explanation:

2 x 2− 16 x + 14 =0

2 (x−1) (x−7)=0

x−1=0 or x−7=0

x=1 or x=7

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3 years ago

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skelet666 [1.2K]

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3 years ago

Factor the following :

TEA [102]

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

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3 years ago

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