Final answer:
To solve the function f(x) = 7x - (36/x) for f(x) = 4, set the equation equal to 4 and solve the resulting quadratic equation for x.
Step-by-step explanation:
To solve the function f(x) = 7x - (36/x) for f(x) = 4, we set the equation equal to 4 and solve for x:
7x - (36/x) = 4
Multiplying both sides by x to get rid of the fraction yields:
7x2 - 36 = 4x
Move all terms to one side to set the quadratic equation to zero:
7x2 - 4x - 36 = 0
Now solve this quadratic equation for x, which may require using the quadratic formula, factoring, or numerical methods depending on the discriminant.