Final answer:
The provided function and equation seem to contain a mistake as f(0) should equal 7, not 37. By correctly solving the equation f(x) = 6x + 7 for f(x) = 37, we find x = 5, which is not among the given options.
Step-by-step explanation:
The question asks to solve for x in the function f(x) = 6x + 7 when f(0) = 37. To do this, we replace the f(x) with 37 and set x to 0 in the equation, the result is 37 = 6(0) + 7. Simplifying the right side of the equation gives us 37 = 7, which is not true, implying an error since f(0) should equal 7 not 37. Therefore, the values given in the function and equation seem to have a typo or mistake, but we can still solve by assuming that the correct equation is f(x) = 37. We solve 37 = 6x + 7 by subtracting 7 from both sides, resulting in 30 = 6x, and then divide both sides by 6 to get x = 5. This value of x is not provided in the options, indicating an issue with the question.