Hello from MrBillDoesMath!
Answer:
x = 30
Discussion:
Note: I ignored the * in f*(x) as i don't know what it means. (If this is not what you intended, please indicate what * means)
f(x) = 2 sqrt(x-5) + 4
f(x) = 14
=>
14 = 2 sqrt(x-5) + 4 => subtract 4 from both sides
14 -4 = 2 sqrt(x-5) => divide both sides by 2
10/2 = sqrt(x-5) =>
5 = sqrt(x-5) => square both sides
5*5 = x-5 => add 5 to both sides
5*5 + 5 = x
25 + 5 = x
x = 30
Thank you,
MrB