Answer:
(a) h(x) = 1/2x -1/2
Step-by-step explanation:
The inverse of the function y = f(x) is found by solving x = f(y).
__
<h3>setup</h3>
x = f(y)
x = 2y +1 . . . . . . use the definition of f(x)
<h3>solution</h3>
x -1 = 2y . . . . . subtract 1
(x -1)/2 = y . . . . divide by 2
y = 1/2x -1/2 . . . . eliminate parentheses
h(x) = 1/2x -1/2 . . . write in functional form
The inverse of f(x) = 2x+1 is ...
h(x) = 1/2x -1/2
Answer: 6
Step-by-step explanation:
3x = 18
Divide 18 by 3
x = 6
To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.
Answer:
units
Step-by-step explanation:
The Line 1 has equation x + y = 5 ....... (1) , and
Line 2 has equation x + y = 3 .......... (2)
Now, we have to find the perpendicular distance between line 1 and line 2.
We can say that (3,0) is a point on line 2 as it satisfies the equation (2).
Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula
units (Answer)
We know that the perpendicular distance from any external point (
) to a given straight line ax + by + c = 0 is given by the formula 
.
