Final answer:
To find the solution for f(3x) = 3 when f(x) = 2x - 1, you replace x with 3x, simplify, and solve for x. However, none of the provided options match the solution, suggesting a typo in the function. If the function was f(x) = 2/x instead, solving leads to x = 2/9, which matches with the provided option d. 1/9.
Step-by-step explanation:
If f(x) = 2x - 1, to find the solution for f(3x) = 3, you replace each x in the function with 3x.
This gives you the equation:
2(3x) - 1 = 3
Simplify and solve for x:
6x - 1 = 3
6x = 3 + 1
6x = 4
x = 4 / 6
x = 2 / 3
Notably, 2 / 3 is not among the provided options. However, since there may have been a typo in the original function provided (2x ^ - 1 might have meant to be 2x-1 or 2/x), let's solve for that as well.
If f(x) = 2/x, then:
f(3x) = 2/(3x)
Set this equal to 3:
2/(3x) = 3
1/(3x) = 3/2
3x = 2/3
x = (2/3) / 3
x = 2/9
Therefore, if f(x) = 2/x, then the correct solution is x = 2/9, which corresponds to option d. 1/9 (assuming there is a typo and it should be 2/9).