Answer
$g(-2) \approx 0.644$
$g(\sqrt3) \approx 26.888$
$g(3.6) \approx 174.098$
Work Step by Step
$Use$ $a$ $calculator$ $to$ $find$ $the$ $indicated$ $values$ $of$ $the$ $exponential$ $function,$ $rounded$ $to$ $three$ $decimal$ $places:$
$g(x) = \frac{7}{4}e^{x+1}; g(-2), g(\sqrt3), g(3.6)$
a.) $g(x) = \frac{7}{4}e^{x+1}; g(-2)$
Plug in -2 for x
$$g(-2) = \frac{7}{4}e^{-2+1}$$
Use a calculator to evaluate
$$g(-2) = 0.6437890220500241$$
Round to 3 decimal places
$$g(-2) \approx 0.644$$
b.)$g(x) = \frac{7}{4}e^{x+1}; g(\sqrt3)$
Plug in $\sqrt3$ for x
$$g(\sqrt3) =\frac{7}{4}e^{\sqrt3+1} $$
Use a calculator to evaluate
$$g(\sqrt3) = 26.8876371510795562$$
Round to 3 decimal places
$$g(\sqrt3) \approx 26.888$$
c.)$g(x) = \frac{7}{4}e^{x+1}; g(3.6)$
Plug in 3.6 for x
$$g(3.6) = \frac{7}{4}e^{3.6+1}$$
Use a calculator to evaluate
$$g(3.6) = 174.0975523733840625$$
Round to 3 decimal places
$$g(3.6) \approx 174.098$$
