Will send extra points for right answer asap! in advance!
identify the domain for the function y = 7^x

Domain is the set of numbers you are allowed to use for x (or the independendt variable)

x is independent variable here
basically the domain is all real numbers except the ones that cause problems
problem numbers cause division by 0 and square roots by negative numbers

will we have a division by 0 for any real value of x?
no

will we have a square root of a negative nuumber for any real value of x?
no

no 'bad' numbers

domain is all real numbers

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.