Answer:
D
Step-by-step explanation:
Given that
f(x)=-2x – 1
g(x) = -1/2x+1/2
I The function f( g(x)) = x for all real x.
-2(-1/2X + 1/2) - 1
X - 1 - 1
X - 2
II. The function glAx)) = x for all real x.
- 1/2( -2X - 1 ) + 1/2
X + 1/2 + 1/2
X + 1
III. Functions fand g are inverse functions
Inverse of f(x)
Y = -2x - 1
X = - 2Y - 1
- 2Y = X + 1
Y = - 1/2X - 1/2
Therefore, none of the above answers is correct.
The correct answer is therefore D
If two lines have the same slope, then they are always parallel, unless they are the same line. Parallel lines means they never touch, but if you have the same line, they would be touching.
If two lines have the same slope and y-intercepts, then they are the same line, therefore not parallel because they touch each other.
Answer:
$49
Step-by-step explanation:
I know this because
x/140 = 35/100
cross multiply
4900 divided by 100=
$49 dollars is the discount amount.
I hope this helped you!:)
Answer:y = - 2x + 17
Step-by-step explanation:
The equation of a line, represented in the slope-intercept form, is
y = mx + c
Where
Slope = m
c = intercept
Looking at the equation given,
y=1/2x + 8
Slope,m = 1/2
If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2
To determine c,
We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,
y = mx + c. It becomes
9 = -2 × 4 + c
9 = -8 + c
c = 9 + 8 = 17
The equation becomes
y = - 2x + 17
