F(x) = 4x - 9
let f(x) = y, this implies that x = f⁻¹(y)
y = 4x - 9 Let us solve for x.
4x - 9 = y
4x = y + 9
x = (y + 9)/4
Recall that x = f⁻¹(y),
x = (y + 9)/4
f⁻¹(y) = (y + 9)/4
That means that for f⁻¹(x)
f⁻¹(x) = (x + 9)/4
Hope this explains it.
Answer:
-1/3
Step-by-step explanation:
Use the formula, (y2 - y1)/(x2 - x1). In this case, there is a negative slope.
Start from point, (1, 9) and go to point (4, 8).
Use the formula:
(y2 - y1)/(x2 - x1)
Y2 = 8
Y1 = 4
X2 = 9
X1 = 1
(8 - 9)/(4 - 1) = -1/3
Therefore, the slope is -1/3
Answer:
Yes, F is a continuous function of r
Step-by-step explanation:
We are given that
When r<R



Where M=Mass of the earth
R=Radius of earth
G=Gravitational constant
We have to find the function is continuous of r or not.
LHL

RHL


When a function is continuous at x=a
Then, LHL=RHL=f(a)
RHL==LHL=F(R)
Hence, the function is continuous of r.
The answer to this is
<span> If the lines are the same, the equations are dependent linear equations. Using the graph of y = x and x + 2y = 6, shown below, determine how many solutions the system has. Then classify the system as consistent or inconsistent and the equations as dependent or independent. The lines intersect at one point.</span>
Hope This Helps!
:D