Rotated: The figure can be rotated 2 times. Angle of Rotation: 180
∘
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to
The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
Please refer to the above attachment
Answer:
The original Slope is y=-1/3x-2
The perpendicular slope would be y=3x+b
Step-by-step explanation:
Original Slope:
You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.
Perpendicular Slope:
The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular
