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2 years ago

Hey can you please help me posted picture of question

Mathematics

2 answers:

Bess [88]2 years ago

7 0

The answer is C. hope this helps.

GuDViN [60]2 years ago

5 0

G(x) is obtained by adding 5 units to F(x).

Addition of a number to the function results in vertical translation in upward direction. So here, adding 5 to F(x) will result in 5 units upward translation of F(x).

So, G(x) is the graph of F(x) shifted 5 units up.

So the correct answer is option B

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What is the inverse of the function f(x) = 2x + 1?

Luda [366]

Answer:

$f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$ ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is $f^{-1}$

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by $f^{-1}$

∴ $f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$

* The inverse of the function is $f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$

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3 years ago

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barxatty [35]

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3 years ago

What is an equation of the line that passes through the points (3,4) and (-4, -3)?

azamat

Answer:

y=x+1

Step-by-step explanation:

1) Find the slope

m=-3-4/-4-3

m=-7/-7

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2) Use y=mx+c

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4=3+c

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