Answer:
b.
Step-by-step explanation:
f(x) = ( x^3-2) /4
y = ( x^3-2) /4
Exchange x and y
x = ( y^3-2) /4
solve for y
Multiply each side by 4
4x = 4( y^3-2) /4
4x = y^3 -2
Add 2 to each side
4x+2 = y^3
Take the cubed root of each side
( 4x+2) ^ (1/3) = y^3 ^(1/3)
( 4x+2) ^ (1/3) =y
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:
The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
And as an inequality: