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KatRina [158]
3 years ago
12

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

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

Answer:

A

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
Two blueberry farms are similar in shape. The ratio of the side lengths of the farms is 4:5, and the smaller farm has a perimete
tatuchka [14]

Answer:

$337.5

Step-by-step explanation:

4:5=360:x        360/4=90     90+360=450 check 360/450=0.8 and 4/5=0.8

4:5=360:450

larger farm perimeter is 450 yards so dig a trench 0.75 per yard

so 450 * 0.75 = $337.5

Hope this helps! :)

3 0
2 years ago
PLEASE HELP!!!!!!
galina1969 [7]

Vertical angles are angles opposite of eachother and therefore the same. Since angle 2 is 93° that means angle 1 must also be 93°

8 0
3 years ago
Read 2 more answers
5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat
Naddik [55]

Answer:

Electricity bill is 175

<em />

Step-by-step explanation:

Given

Rent = 1800

Gas = 150

Each\ Roommate = 425 monthly

Number\ of\ Roommate = 5

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

Total = 5 * 425

Total = 2125

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

Gas + Rent + Electricity = 2125

150 + 1800+ Electricity = 2125

1950+ Electricity = 2125

Electricity = 2125 - 1950

Electricity = 175

<em>Hence, the electricity bill is 175</em>

4 0
2 years ago
HELPPPPPPPPPPPP With this question ( taking quiz)
creativ13 [48]

Answer:

swimming pool

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
34
Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
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