+1452 The function f(x) is defined for 1
{ 2x+1 if 1
f(x)= { 7-x if 2 < x
{ 10-2x if 3 < x
{ 10-x if 4 < x
Find all real numbers x such that f(x) = x.
If you find more than one answer, list them all, separated by commas.
Thanks so much!
+129933 We want to find all ordered pairs such that y = x
This cannot happen with the first function whose only ordered pair is (1, 3)
With the second function we have that
y = 7-x .....so.....
x = 7 - x add x to both sides
2x = 7 divide both sides by 2
x = 7/2 and this is in the domain of this function...so the ordered pair that make f(x) = x for this function is (7/2, 7/2)
For the third function, we have that
y = 10-2x ......so....
x = 10-2x add 2x to both sides
3x = 10 divide both sides by 3
x = 10/3 and this is in the domain of this function.....so the ordered pair that make f(x) = x for this function is (10,3, 10,3)
Finally
y = 10- x ......so....
x = 10 - x add x to both sides
2x = 10 divide both sides by 2
x = 5 and this is in the domain of this function....so the ordered pair that make f(x) = x for this function is (5,5)
So.....the ansers are: (7/2, 7/2), (10/3, 10/ 3) , (5,5)
