How do you find the domain and range of #g(x) = 9x + 5#?

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Answer 1 · 2017-10-09T15:36:03

#x in RR# and #g(x) in RR# or #x in (-oo,+oo)# and #g(x) in (-oo,+oo)#

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

So, here we can let #x# be any real number and our output will be a real number.

The real values of #y# (in this case #g(x)#) is called the range.

Here too, the range can be any real number.

For example-->

Let #x=sqrt2# (which is a real number)

Then #g(x)=9sqrt2+5# (which is also a real number)

So for all real values of #x# we get real values of #g(x)#

Therefore, #x in (-oo,+oo)# and #g(x) in (-oo,+oo)#