Let f(x) = x + 1 and g(x)=1/x. The graph of (f*g)(x) is shown below. What is the range of (f*g) (x)A.all real numbers except y=-1B.all real numbers except y=0C.all real numbers except y=1D.all real numbers

For this case we have the following functions:[tex]f (x) = x + 1\\g (x) = \frac {1} {x}[/tex]By definition we have to:[tex](f * g) (x) = f (x) * g (x)[/tex]So:[tex]f (x) * g (x) = x + 1 * \frac {1} {x} = \frac {x + 1} {x}[/tex]The domain of the function is given by the values for which the function is defined. The function is not defined for x = 0.Then, the domain is given by all real numbers except 0.The range is the set of all values of and valid.Then the range is given by all reals except 1.Answer:Option C