The function g(x) can be expressed as the inverse of f(x) as;
g(x) = ¼x - 3
<h3>Inverse Functions</h3>
Complete question is;
If g(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x)?
- Now, for us to find the inverse of a function, we need to make the output the subject of the formula first and then switch the input and new output values.
Thus;
f(x) = 4x + 12
Thus;
(f(x) - 12)/4 = x
x = ¼f(x) - 3
Thus, switching as said above, we now have;
g(x) = ¼x - 3
Read more about inverse functions at;brainly.com/question/8824268
Sample Response: In productive study groups, members participate actively in the discussions, use good listening skills, and follow group guidelines.
A) The calculated resistance needed to generate the current at low speed is; R = 480 ohms
B) Resistance at medium and larger speeds are;
At medium speed; R is less than that at low speed
At larger speed; R is less than that at medium speed.
A) We are given;
Voltage; V = 120 V
Current at lower speed; I = 0.25 A
Formula for resistance here is;
R = V/I
R = 120/0.25
R = 480 ohms
B) This means that if larger currents are required at higher speeds, it means that lower resistance would be required.
Similarly at medium currents the resistance will be lesser than that at lower speed but greater than that at larger speeds.
Read more on ohms law at; brainly.com/question/1220677
