Final answer:
The only real value of x for which f(x) = 0 is x = 4/15.
Step-by-step explanation:
To find the real values of x for which f(x) = 0, we can set the function equal to zero and solve for x:
3x - 4/5 = 0
Multiplying both sides by 5 to eliminate the fraction, we get:
15x - 4 = 0
Adding 4 to both sides, we have:
15x = 4
Dividing both sides by 15, we find:
x = 4/15
So, the only real value of x for which f(x) = 0 is x = 4/15.