All categories

2 years ago

Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?

Mathematics

1 answer:

allochka39001 [22]2 years ago

5 0

Answer:

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

You might be interested in

Plz help me so confused

Alex Ar [27]

If you look at the chart (about the chores) you can find out everthing

4 0

3 years ago

Jada's sister works in a furniture store.

Bingel [31]

Answer:

1) $16.35

2) 75%

3) $245

Step-by-step explanation:

1) Jada earns = $15 per hour

9% increase = 15 * 9/100 = $1.35

Increased Jada's pay = 15+1.35 = $16.35

2) Markup = selling price - cost= $350 - 200= $150

Markup % = $\frac{sale price - cost }{cost}*100$ \

= $\frac{150}{200}*100$ = 75%

3) Jada's sister commission is 3.5% of $7000

= $\frac{3.5}{100}* 7000$

= $245

5 0

2 years ago

Factor completely x3 + 8x2 − 3x − 24.

Anna71 [15]

Answer:

Step-by-step explanation:

$x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)$

7 0

2 years ago

In a package of candy there is a total of 24 yellow pieces. For every 5 green pieces in the package, there are 8 yellow pieces.

IgorLugansk [536]

Answer:

15 green pieces.

Step-by-step explanation:

8x = 24

x = 3.

So you need 3 times the amount of green pieces for every yellow piece.

3 * 5 green pieces = 15 green pieces

7 0

2 years ago

A cookie factory puts 2/5 of a barrel of flour into each batch of cookies. How much flour will the factory use for 10 batches?

yawa3891 [41]

Answer: 4

Step-by-step explanation: 2/5 x10 is 4

6 0

2 years ago