Help me find the missing number!!!
1 answer:
You might be interested in
Lets get started :)
f(x) =
- 2
y =
- 2
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =
- 2
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =
Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
f(x) =
y =
This is the original equation, and now we have to find the inverse.
When finding the inverse, just flip the variables, x as y and y as x
f ⁻¹(x)
↓
x =
We have to isolate y as it is our f ⁻¹(x)
Take 2 to the other side { When you see subtraction, you do addition }
x + 2 =
Take 9 to the other side { When you see division, you do multiplication }
9 ( x + 2 ) = y
9x + 18 = y
f ⁻¹ (x) = 9x + 18
(a)
Domain:
we know that domain is all possible values of x for which any function ios defined
Here, curve is defined for all values of x
so, domain is
Range:
Range is all possible values of y for which x is defined
minimum value of y is -4
maximium value of y is +inf
so, range is
(b)
x-intercept:
It is the value of x where f(x)=0
so, the point where curve intersects on x-axis
and we get
and
(c)
Increasing interval:
where curve is moving upward
we can see that
Decreasing interval:
where curve is moving downward
we get
Constant:
constant means horizontal line
there is no horizontal line here
so, it does not exist
(D)
End behavior:
when x-->+inf
y is moving upward
so, y---->+inf
when x-->-inf
y is moving upward
so, y---->+inf
(E)
we can see that curve jupms at x=-1
so, there is discontinuity at x=-1
and this is jump type of discontinuity
(F)
For odd:
f(-x)=-f(x)
For even:
f(-x)=f(x)
we can see that none of them holds true
so, this is neither