Answer:
f(g(x)) = [tex]\frac{1}{x} + 7[/tex]
Step-by-step explanation:
If f(x) = x + 7 and g(x)=1/x
f(g(x)), plug in g(x) in f(x)
g(x) = 1/x
first we plug in 1/x for g(x)
f(g(x)) = [tex]f(\frac{1}{x})[/tex]
Plug in 1/x for x in f(x)
f(x) = x + 7
f(g(x)) = [tex]f(\frac{1}{x})[/tex] = [tex]\frac{1}{x} + 7[/tex]
