Which statement correctly describes the relationship between the volume of the triangular pyramid and volume of the triangular p
rism?
A.
The volume of the pyramid is equal to the volume of the prism.
B.
The shapes have the same base and height, so the volume of the prism is one-third the volume of the pyramid.
C.
The shapes have the same base and height, so the volume of the prism is 3 times the volume of the pyramid.
D.
There is no relationship between the volumes of each shape.
A.
The volume of the pyramid is equal to the volume of the prism.
B.
The shapes have the same base and height, so the volume of the prism is one-third the volume of the pyramid.
C.
The shapes have the same base and height, so the volume of the prism is 3 times the volume of the pyramid.
D.
There is no relationship between the volumes of each shape.
1 answer:
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Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.