ANSWER:

STEP-BY-STEP EXPLANATION:
We have the following equation:

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.
Therefore, the domain is x ≥ -4.
So the correct answer is D.
Answer:
y =
x - 2
Step-by-step explanation:
<u>The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.</u>
Slope intercept formula: y = mx + b
(m = slope)
(b = y intercept)
If the equation has a slope of m =
, then the slope-intercept form would be:
y =
x
If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:
y = mx - 2
<u>Putting both of these values into an equation would give option A:</u>
y =
x - 2
The answer to this question is 5.2
Finding gradient:
m = y2 - y1
x2 - x1
= -1 - 6
1 - 3
= -7 / (-2)
= 7/2
y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9