(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
Answer:
Equation of the straight line passing through the point ( 1,2 ) and having the slope
x - √3y -1+2√3 =0
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the point (1,2) and an angle = ∝ = 30°
The slope of the line
m = tan 30°
<u><em>Step(ii)</em></u>:-
Equation of the straight line passing through the point ( 1,2 ) and having the slope
y - y₁ = m(x-x₁)
y - 2 = 
( x -1)
√3(y-2) = (x-1)
⇒ √3y - 2√3 = x -1
x - √3y -1+2√3 =0
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
-19
Step-by-step explanation:
Take the second term and subtract the first term to find what we are adding (or subtacting ) each time
-7 -(-3) =
-7+3
-4
We are subtracting 4 each time
Subtract 4 from the next term
-15 -4 = -19
The next term is -19
Answer:
22, -6
Step-by-step explanation:
Create a system of equations.
x= the larger number
y=the smaller number
Using what you know, create the equations:
x+y=16
3x-y=72
Now add the two equations together. (elimination method)
x+y=16
+ 3x-y=72 (the y's cancel out)
-----------------
4x = 88 Divide.
x = 22
Now plug in x=22 into one of your equations to solve for y.
x+y=16
22+y=16
y=-6
The numbers are 22 and -6.
