Step-by-step explanation:
We can observe from the table that the value of independent variable and then the values of function on that variable are given.
So,
<u>f(5) = 6</u>
As the value of function at x=5 is 6
<u>If f(x) = 4 then x = 7</u>
The value of function is 4 only on x=7 so the answer is x = 7
When the inverse is taken, the inputs become output and the outputs become inputs

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6
Now,
Lastly

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.
Answer:
y = 2
Step-by-step explanation:
-3y + 6 = 0
-3y = -6
y = -6/-3
y = 6/3
y = 2
F(g(2))
g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15
f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==
ur answer is -7
Answer:

Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

Where:
The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
Substitute the values into the formula.

Solve the exponent.
- (4 ft)²= 4 ft * 4 ft = 16 ft²

Multiply the three numbers together.


The volume of the cylinder is approximately <u>384 cubic feet.</u>