Ireally need with the question above. only real answers

  they are NOT inverses

Step-by-step explanation:

f(g(x)) = (√(x+3))² -3 = x +3 -3 = x . . . . f is the inverse of g on g's domain

g(f(x)) = √(x²-3 +3) = √(x²) = |x| . . . . . . g is not the inverse of f, except on a restricted domain (x > 0)

Since the relationship is one-sided, we have to say that the functions are NOT the inverses of each other.

_____

Consider the attached graph.

Functions are inverses of each other if one is a reflection of the other in the line y=x (the dashed orange line). Here, only the "beaded" portion of f(x) (red) matches the reflection of g(x) (blue). The "inverses of each other" relationship is not complete.

1d

2b

3 false

4 d

5 3200sq,ft

80+60+y=180

then divide the difference between 60 and y and add it to 180

so x =180 +( (y-60)/2)

x equals 200

step-by-step explanation:

8

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}