To find the inverse we have to first change the function notation to 'y'
So
f(x) = -x becomes y = -x
Next, we have to switch the x and y values
So, y = -x becomes x = -y
Now, we have to solve for y.
y = -x
So the inverse of f(x) = -x is:
Answer:
Step-by-step explanation:
The function f(x) is 3x+5
● (f-1)(x) = 3x+5 -1
● (f-1)(x) = 3x+4
Replace x with 3
● (f-1)(x) = 3×3+4 = 13
Answer:
<h2>z = 12</h2>
Step-by-step explanation:

So first, let's calculate the total volume of all metal spheres.
Total volume = number of spheres * 4/3* πr³
Total volume = 24*4/3*3.14*4³ = 6430.72 cm³
Now, let's equate this to the volume of the rectangular prism. The volume of a rectangular prism is:
V = LWH, where L is the length, W is the width and H is the height
Thus,
6430.72 = (6 cm)(2 cm)(H)
Solving for H,
<em>H = 535.9 cm</em>