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2 years ago

Prove that root6+root2 is irrational

Mathematics

1 answer:

Verdich [7]2 years ago

3 0

Answer:

It is irrational because the

$\sqrt{6 } \: and \: \sqrt{2}$

is not a perfect square

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Please. Answer Fast! Use composition to determine if G(x) or H(x) is the inverse of F(x) for the

s344n2d4d5 [400]

Answer:

A. H(x) is an inverse of F(x)

Step-by-step explanation:

The given functions are:

$F(x)=\sqrt{x-2}$

$G(x)=(x-2)^2$

$H(x)=x^2+2$

We compose F(x) and G(x) to get:

$(F\circ G)(x)=F(G(x))$

$(F\circ G)(x)=F((x-2)^2)$

$(F\circ G)(x)=\sqrt{(x-2)^2-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+4-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+2}$

$(F\circ G)(x)\ne x$

Hence G(x) is not an inverse of F(x).

We now compose H(x) and G(x).

$(F\circ H)(x)=F(H(x))$

$(F\circ H)(x)=F(x^2+2)$

$(F\circ H)(x)=\sqrt{x^2+2-2}$

We simplify to get:

$(F\circ H)(x)=\sqrt{x^2}$

$(F\circ H)(x)=x$

Since $(F\circ H)(x)=x$ , H(x) is an inverse of F(x)

3 0

2 years ago

How does the slope of g(x) compare to the slope of f(x)?

Maru [420]

Answer:

The answer is 'The slope of g(x) is less than the slope of f(x)'

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ $\text{The slope of f(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{2-1}=2$

The graph of g(x) passes through the points (0,2) and (2,3)

∴ $\text{The slope of g(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{2-0}=\frac{1}{2}$

As $\frac{1}{2}$

This shows that the

The slope of g(x) is less than the slope of f(x).

8 0

3 years ago

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What is the actual area of the plot of land ? Write the area in square feet

AlekseyPX

The area is 645504 square feet

8 0

3 years ago

At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an al

pickupchik [31]

Answer:

2,654$

Step-by-step explanation:

8a + 2c

8 x 238 = 1,904

2 x 375 = 750

750 + 1,904 = 2,654

2,654$

Hopefully this helps you

pls mark brainlest

4 0

3 years ago

X+2=0 help thanks this is hard

djyliett [7]

-2+2=0

I hope I helped

8 0

3 years ago

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