Question

Let f(x) =x+1 and g(x)=1/x. The graph of (f o g)(x) is shown below. What is the range of (f o g)(x)?

Answer 1

Looks like all real numbers except 1. It touch's all the y except 1 aka range

Answer 2

Answer:

all real numbers except y=1

Step-by-step explanation:

$f(x)=x+1$

$g(x)=\frac{1}{x}$

$(f og)(x)= f(g(x))$

Plug in 1/x for g(x)

$(f og)(x)= f(g(x))=f(\frac{1}{x})$

Now we plug in the fraction in f(x)

$(f og)(x)= f(g(x))=f(\frac{1}{x})=\frac{1}{x}+1$

Range of the function are the y values for which the function is defined

In the graph , we can see that the graph goes close to y=1 but does not cross y=1

So range is all real numbers except y=1