3 years ago

What is the resulting ordered pair if the value of the independent variable is 2?

Mathematics

1 answer:

Alla [95]3 years ago

7 0

2, –6 is the correct answer

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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

3 years ago

In a table the dependent variable is always listed in the first row or column.

VikaD [51]

The answer is definitely false

6 0

3 years ago

Domain:<br> Range:<br> Increasing:<br> Decreasing:

mihalych1998 [28]

Answer:

Domain- -2>x<2

Range- [4,∞)

Increasing-[∞,4]

Decreasing-[4,∞]

3 0

3 years ago

Hiii please help! i’ll give brainliest if you give a correct answer tysm!

Stolb23 [73]

Multiply 9 and 5 then multiply by .5 giving you 22.5 so I’d say that’s your best option

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3 years ago

my mum was 27 when I was born,8 years she was twice as old as I shall be in 5 years time. how old am I now?

jeyben [28]

Answer:

THIS IS HARD

Step-by-step explanation:

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3 years ago