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KATRIN_1 [288]
2 years ago
13

Pls help pls helppp i will giving breanlist

Mathematics
1 answer:
GaryK [48]2 years ago
3 0

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

f(x)=\dfrac{1}{x-3}

g(x)=\sqrt{x+5}

Composite function:

\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}

Domain: input values (x-values)

For (f\:o\:g)(x) to be defined:

x+5\geq 0 \implies x\geq -5

\sqrt{x+5}\neq 3 \implies x\neq 4

Therefore, -5\leq x < 4  and  x > 4

⇒  [-5, 4) ∪ (4, ∞)

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Find the measure of 2.<br> 63° 117°<br> 62 = [?]<br> Enter
forsale [732]

Answer:

63°

Step-by-step explanation:

Angle <2 and the angle with measure of 63 are alternate exterior angles and has same measurement.

7 0
3 years ago
The perimeter of a square is 36<br>what is the area of the square?​
zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0
3 years ago
Neil is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
SashulF [63]
D, because the will not intersect i believe
4 0
3 years ago
Solve the equation x^2 - 4x + 6 = 9 by completing the square.
tatuchka [14]

Hello!

x² - 4x + 6 = 9 <=>

<=> x² - 4x + 6 - 9 = 0 <=>

<=> x² - 4x - 3 = 0 <=>

<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>

<=> x = 4±√16+12/2 <=>

<=> x = 4±√28/2 <=>

<=> x = 4±2√7/2 =>

=> x = 4+2√7/2 and x = 4-2√7/2 =>

=> x = 2+√7 and x = 2-√7

The equation has two solutions.

Good luck! :)

7 0
2 years ago
Read 2 more answers
Solve for x. Enter the solutions from least to greatest.
Anna [14]

Answer:

lesser x = -6

greater x = 12

Step-by-step explanation:

(x - 3)^2 - 81 = 0

(x - 3)^2 = 81

x - 3 = +/- 9

x - 3 = 9   or   x - 3 = -9

x = 12   or   x = -6

5 0
2 years ago
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