Answer:
x ≠ 4 or -2
Step-by-step explanation:
the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.
3x^2 - 6x - 24 ≠ 0
3(x^2 - 2x - 8) ≠ 0 (factor out a 3)
3(x - 4)(x + 2) ≠ 0 (factor equation)
x ≠ 4, x ≠ -2 (use zero product property to find zeros)
You should subtract left sides and right sides in order to make y disappeared
and you will have the following:
y - y = (x - 6) - (3x - 8) => 0 = x - 6 - 3x - 8 => 0 = -2x - 14 =>
2x = -14 => x = -14/2 = -7
Now you can use -7 in the system and you will get y
y = -7 - 6 = -13
So your answers will be:
x=-7 and y=-13
G(x) = (25 - x)/5 First lets call g(x) by its other name - y
y = (25 - x)/5 Now switch the x and y
x = (25 - y)/5 Solve for y which is now the inverse - call this
5x = 25 - y
y = 25 - 5x this is the inverse so
= 25 - 5x
Answer:
The perimeter is 37 inches (3 ft. 1 in.)
Step-by-step explanation:
24 + 13 = 37
12 x 2 = 24
6.5 x 2 = 13
