SOLUTION: What is the domain of the function f(x)=3x-3 when the range is R:{3,-7,-9}?

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Question 37255: What is the domain of the function f(x)=3x-3 when the range is R:{3,-7,-9}?
Answer by Nate(3500) About Me  (Show Source):
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What is the domain of the function f(x)=3x-3 when the range is R:{3,-7,-9}?
R:3
f(3)=(3)3-3=6
R:-7
f(-7)=3(-7)-3=-24
R:-9
f(-9)=3(-9)-3=-30
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -3+x+%2B+1+y+=+-3 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--3%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -3/-3 = 1.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -3/1 = -3.
  • Slope is --3/1 = 3.
  • Equation in slope-intercept form: y=3*x+-3.
graph%28+500%2C+500%2C+1-8%2C+1%2B8%2C+-3-8%2C+-3%2B8%2C+3%2Ax%2B-3+%29+