1 Answer

Paul Thompson · Answer 1 · 2019-07-16T04:26:37+0000

we are given

g(x)=(0.5)^x+4

we can see that

there is no value of x for which g(x) is not defined

so, no vertical asymptote exists

now, we will find horizontal asymptote

$\lim_(x \to \infty) g(x)= \lim_(x \to \infty)((0.5)^x+4 )$

$\lim_(x \to \infty) g(x)= (\lim_(x \to \infty) (0.5)^x+\lim_(x \to \infty) 4 )$

$\lim_(x \to \infty) g(x)= 0+4$

so, we get

horizontal asymptote as

y= 4 ............Answer

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