trig help!?

Question

find the domain
3m-12/2m squared-32

please explain step by step. thank you!

Answer 1

Step 1: Simplify the fraction:
3m - 12 / (2m^2 - 32)
3(m - 4) / 2(m^2 - 16)
3(m - 4) / 2(m - 4)(m + 4) - Difference of 2 squares)
3 / 2(m + 4)
3 / 2m + 8

Step 2: Given the simplified fraction, determine the domain:
The domain is then any number that produces a possible output. You cannot allow the denominator to equal 0 so your domain will be:
2m + 8 != 0 (!= means not equal)
2m != -8
m != 4 (solution! - all real numbers except 4.)