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3 years ago

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:

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.

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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

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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

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