Find the Linear Approximation of the Function F (X) = $\sqrt { x + 24 }$

Multiple Choice

Find the linear approximation of the function f (x) = $\sqrt { x + 24 }$ at x $1$ = 1 and use it to approximate $\sqrt { 24.98 }$ .

A) 4.888
B) 4.948
C) 4.958
D) 4.968
E) 4.978
F) 4.988
G) 4.998
H) 4.9995