Answered

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What is the range of the function g(x)=[x]+1

Sagot :

danielgeyfman

Assuming [x] means the closest integer to x

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

We can see that for any integer [tex]x[/tex], there will always be a [tex][x][/tex], so there will always be a [tex][x]+1[/tex]. So, we don't need to worry about the domain impacting the range.

[tex][x][/tex] can be any integer from [tex]-\infty[/tex] to [tex]\infty[/tex], and as [tex]\infty+1=\infty[/tex](at least in terms of a function's range and domain), the range of [tex][x]+1[/tex] is equal to the range of [tex][x][/tex], which is [tex](-\infty, \infty)[/tex].

So, the answer is [tex]\boxed{(-\infty, \infty)}[/tex] and we're done!

cmastha115

Answer:

2

3

4

5

Step-by-step explanation:

g (1)=1+1=2

g (2)=2+1=3

g (3)=3+1=4

g(4)=4+1=5

range =2, 3, 4 ,5.......

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