We are given

Firstly, we will factor numerator and denominator

Restrictions:
we know that denominator can not be zero
so, we can set denominator =0
and solve for k to get restrictions


Simplification:

we can see that k+1 gets cancelled
so, we get
..........Answer
Answer:
-1 x - 2
f (x) = -----------
3
Step-by-step explanation:
Then we have y = 3x + 2.
Next, interchange x and y, obtaining x = 3y + 2
Next, solve this result for y: 3y = x - 2; then divide both sides by 3:
y = (x-2)/3
Last, replace "y" with the inverse function label:
-1 x - 2
f (x) = -----------
3
Answer:
14.2
Step-by-step explanation:
Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.