the length of segment vs is 15 units
The asymptote of the function f(x) = aˣ is y = 0.
The domain of the function f(x) = aˣ is x ∈ R.
The range of the function f(x) = aˣ is y > 0.
-----------------------------------------------------------------------------------
f(x - n) - shifting the graph by n units to the right
f(x + n) - shifting the graph by n units to the left
f(x) - n - shifting the graph by n units down
f(x) + n - shifting the graph by n units up
---------------------------------------------------------------------------
We have
- shifting the graph of f(x) = 6ˣ, 4 units to the right. Therefore
Domain - no change
Range - no change
Asymptote - no change
Answer:
The asymptote is y = 0. The domain is x ∈ R. The range is y > 0.
If , therefore
- shifting the graph of f(x) = 6ˣ, 4 units down.
Therefore, yor answer is:
Domain - no change (x ∈ R)
Range - change → y > -4
Asymptote - change → y = -4
Answer:
ur welcome
Step-by-step explanation:
x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done
9514 1404 393
Answer:
(40π +48) cm²
Step-by-step explanation:
The total area is the sum of the areas of a 12 cm circle, a 4 cm circle, and a 12 cm by 4 cm rectangle.
For a given diameter (d), the area of a circle is ...
A = (π/4)d²
Then the area of the two circles is ...
A = (π/4)(12 cm)² +(π/4)(4 cm)² = (π/4)(144 cm² +16 cm²) = 40π cm²
The area of the rectangle is ...
A = LW
A = (12 cm)(4 cm) = 48 cm²
Then the total area of the figure is ...
total area = circle area + rectangle area
total area = 40π cm² +48 cm²
total area = (40π +48) cm²
Answer:
The inverse is 5x-6
Step-by-step explanation:
To find the inverse of a function
y = ( x+6) /5
Exchange x and y
x = ( y+6)/5
Solve for y
Multiply each side by 5
5x = (y+6)/5 *5
5x = y+6
Subtract 6 from each side
5x-6 = y+6-6
5x-6 =y
The inverse is 5x-6