Answer:
Both are inverse pairs
Step-by-step explanation:
Question 11
(a) Rename g(x) as y
(b) Solve for x :
(c) Multiply each side by ⅝
(d) Switch x and y
(e) Rename y as the inverse function
(f) Compare with your function
f(x) and g(x) are inverse functions.
The graphs of inverse functions are reflections of each other across the line y = x.
In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)
Question 12
h(x)= x - 2
(a) Rename h(x) as y
y = x - 2
(b) Solve for x:
x = y + 2
(c) Switch x and y
y = x + 2
(e) Rename y as the inverse function
h⁻¹(x) = x + 2
(f) Compare with your function
f(x) = x + 2
f(x) = h⁻¹(x)
h(x) and ƒ(x) are inverse functions.
The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).
Answer:
72 cm^3
Step-by-step explanation:
find the volume of the big block and the volumem of the smaller block and subtract it
(8 x 2 x 5) - (2 x 2 x2)
= 80 cm^3 - 8 cm^3
= 72cm^3
Hey!
So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).
Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.
5 = -(4/3)(-3) + b
5 = 4 + b
1 = b
Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:
y = -(4/3)x + 1
Answer:
Disagree 15 minutes
Step-by-step explanation:
Answer:
the answer is 3x2-10x+6=0
