Answer:
f(122) = 49Step-by-step explanation:
Using linear approximation for y = f(x) at x = a is,
f(x) = f(a) + f'(a)(x - a)
For the given question, a = 120
So,
f(x) = f(120) + f'(120)(x - 120)
Putting known values,
f(x) = 37 + 6(x - 120)
So, at x = 122,
f(122) = 37 + 6(122 - 120)
= 37 + 12
= 49