(-2,4) Given the function f(x) , calculate the inverse f^-1(x)
1 answer:
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Answer:
A.(-2, 0)
C. (-1.4)
Step-by-step explanation:
we know that
If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)
we have
subtract 7 both sides
divide by 2 both sides
Substitute the value of x and the value of y of each point in the linear equation and analyze the result
<u><em>Verify each point</em></u>
case A) we have
(-2, 0)
For x=-2, y=0
substitute
---> is true
so
the point lie on the line
case B) we have
(1, 3)
For x=1, y=3
substitute
---> is not true
so
the point not lie on the line
case C) we have
(-1, 4)
For x=-1, y=4
substitute
---> is true
so
the point lie on the line
case D) we have
(1, -4)
For x=1, y=-4
substitute
---> is not true
so
the point not lie on the line
case E) we have
(0, -1)
For x=0, y=-1
substitute
---> is not true
so
the point not lie on the line
B) If the line is parallel, that means the slope is the same.
The slope for the original line is
= 
.
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.
The slope for the original line is
The second form of coral line would be y = -1/4x + (any number). You could use y = -1/4x + 3.
c) Solve 12x = 24 + 3y for y.
3y = 12x - 24
y = 4x - 8
Perpendicular lines have negative reciprocal slopes... the negative reciprocal for -1/4 is 4. So yes, the third coral structure is perpendicular to the first coral.