The function \( f(x) = 35x + 50 \) models the cost of gym membership after \( x \) months, where:
- \( 35x \) represents the total monthly fees for \( x \) months (with \( 35 \) being the monthly fee).
- \( 50 \) represents the one-time membership fee.
The initial value of the function \( f(x) \) when \( x = 0 \) is \( f(0) = 35(0) + 50 = 50 \).
Therefore:
The initial value of 50 represents the one-time membership fee.