What is the domain of #f(x)=7x+4#?

1 Answer
Mar 18, 2018

#x inRR#

Explanation:

This is just the equation of a line, where #7# is the slope and #4# is the y-intercept, so the function is continuous.

Since our function #f(x)# is continuous, its domain is #x inRR#, meaning #x# can take on any value.

  • You can plug in #2# for #x# and get a value for #f(x)#
  • You can plug in #81# for #x# and get a value for #f(x)#
  • You can plug in #5341238# in for #x# and get a value for #f(x)#

The point is, no input for #x# will make this function undefined, thus its domain is #x inRR#.