Final answer:
F1 for the function f(x)=3/2x-1 is not explicitly given in the options, as substituting x=1 results in f(1)=0.5. There seems to be a misunderstanding or mistake in the question. If F1 is meant to find the x-value when f(x)=1, the result is x=4/3, which is not among the options.
Step-by-step explanation:
The question requests to find F1 for the function f(x) = 3/2x - 1. To find F1, we need to substitute x = 1 into the function because 'F1' indicates the value of the function at x=1. Substituting gives us:
f(1) = 3/2(1) - 1 = 3/2 - 1 = 1.5 - 1 = 0.5
However, since this value is not an option, it appears there may have been a misunderstanding in the notation or a mistake in the question. If we were to assume that 'F1' indicates the value of the function when it is equal to one (f(x) = 1), then we would need to solve the equation 3/2x - 1 = 1.
Re-arranging the equation:
3/2x = 2x = 2 / (3/2)x = 2 * (2/3)x = 4 / 3
Since x = 4 / 3 is the value of x when the function equates to 1, if we stick with the original interpretation, none of the options provided are correct. The student should be advised to check the function and the question for accuracy.