Answer
$g(-0.7) \approx 0.269$
$g(1) \approx 1.472$
$g(\pi) \approx 12.527$
Work Step by Step
$Use$ $a$ $calculator$ $to$ $find$ $the$ $indicated$ $values$ $of$ $the$ $exponential$ $function,$ $rounded$ $to$ $three$ $decimal$ $places:$
$g(x) = 4e^{x-2}; g(-0.7), g(1), g(\pi)$
a.) $g(x) = 4e^{x-2}; g(-0.7)$
Plug in -0.7 for x
$$g(-0.7) = 4e^{-0.7-2}$$
Use a calculator to evaluate
$$g(-0.7) = 0.26882205095899904$$
Round to 3 decimal places
$$g(-0.7) \approx 0.269$$
b.)$g(x) = 4e^{x-2}; g(1)$
Plug in 1 for x
$$g(1) = 4e^{1-2}$$
Use a calculator to evaluate
$$g(1) = 1.4715177646857693$$
Round to 3 decimal places
$$g(1) \approx 1.472$$
c.)$g(x) = 4e^{x-2}; g(\pi)$
Plug in $\pi$ for x
$$g(\pi) = 4e^{\pi-2}$$
Use a calculator to evaluate
$$g(\pi) = 12.5270087669943172$$
Round to 3 decimal places
$$g(\pi) \approx 12.527$$