An exponential function with a base of 1/2 has been compressed vertically by a factor of 3/4 and reflected in the y-axis. Its asymptote is t

a) Write an equation of the function

b) Discuss its domain and range

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a)
$\color{blue}f(x)=\frac{3}{4}\cdot (\frac{1}{2})^x+t\\ f(0)=\frac{3}{4}+t$

reflected in y

$\color{blue}g(x)=\frac{3}{4}\cdot (\frac{1}{2})^{-x}+t\\ f(0)=\frac{3}{4}+t$

b)

domain f(x) and g(x):  - $\infty$ < x < $\infty$ 

range f(x):   t < f(x) < $\infty$ 

range g(x):   t < g(x) < $\infty$ 

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