Question

A forensic scientist uses the functions
G() = 2.56f+47.24 and H(t) = 2.74t+61.22
to find the height of a woman if the scientist is given the length of the woman's
femur bone for the length of the woman's tibia bone t in centimeters. Find the height of a woman whose femur measures 49 centimeters

The height of a woman whose femur measures 49 centimeters is
(Simplify your answer.)​

Answer 1

Since we're given the femour's length, we'll have to use the first function.

If we substitute $f=49$ in the expression we have

$g(f)=2.56f+47.24 \implies g(49)=2.56\cdot 49+47.24=125.44+47.24=172.68$