A function f is defined by the equation f(x)=4x−8. Suppose that the state variables T and Q are related by this function according to the mapping f:Q↦T.
Suppose that T=3. Use the equation of the function to find the value of Q.
4Q-8 = 3
4Q = 11
Q = 11/4
To find the value of Q when T = 3, we can use the equation of the function f(x) = 4x - 8.
First, substitute T = 3 into the equation:
3 = 4x - 8
Next, add 8 to both sides of the equation to isolate the term with x:
3 + 8 = 4x
11 = 4x
Finally, divide both sides of the equation by 4 to solve for x:
11/4 = x
So, the value of x is 11/4.
Therefore, if T = 3, then Q = 11/4 according to the mapping f: Q ↦ T.