What is the domain of y=log(x+2)

Mathematics

1 answer:

Andru [333]3 years ago

8 0

Answer:

$\huge\boxed{x>-2\to x\in(-2;\ \infty)}$

Step-by-step explanation:

$y=\log(x+2)\\\\\bold{Domain:}\\\\x+2>0\qquad|\text{subtract 2 from both sides}\\\\x+2-2>0-2\\\\x>-2$

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Can someone please help as I'm not sure how to tackle this step by step? Especially question b, d, g, j, k, l. Not how sure to d

Arisa [49]

Step-by-step explanation:

√a = 1√a so we can solve them easily:

b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7

d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6

g) √2+2√2= 3√2

j) √5+5√5 - 3√5 = 3√5

k) 2√3 + √3 - 5√3= -2√3

I) 5√11 + 7√11 - √11 = 11√11

7 0

2 years ago

Please help thanks

qwelly [4]

Answer:

x = 7 is your answer.

Step-by-step explanation:

Here is what you do:

x + 16 = 4x - 5

-3x + 16 = -5

-3x = -21

x = 7 is your answer.

4 0

3 years ago

Solve the equation for x, where x is a real number (5 points): -5x^2 + 7x + 41 = 32

wel

Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.

To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
                   x = [ -b ± √(b^2 - 4ac) ] / (2a)
                   x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
                   x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
                   x = [ -7 ± √(229) ] / ( -10)
                   x = [ -7 ± sqrt(229) ] / ( -10 )
                   x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.

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3 years ago

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make? x squared minus 2 x + 1 St

melomori [17]

Answer:

See attached sheet

Step-by-step explanation: