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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)?

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

2 Answers

4 votes
Looks like all real numbers except 1. It touch's all the y except 1 aka range
User Chewynougat
by
7.1k points
2 votes

Answer:

all real numbers except y=1

Explanation:


f(x)=x+1


g(x)=(1)/(x)


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

Plug in 1/x for g(x)


(f og)(x)= f(g(x))=f((1)/(x))

Now we plug in the fraction in f(x)


(f og)(x)= f(g(x))=f((1)/(x))=(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

User Gautam Chibde
by
7.3k points

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