Answer:
-1
Step-by-step explanation:
f of 3 is the same thing of f of x which is y. The questions is saying if x is equal to 3, then what is y. x is represented by domain and y is represented by range. If you find x which is 3 in the domain, then the arrow points to negative 1 in the range circle.
Answer:
Step-by-step explanation:
given a point
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form
, the y intercept is b and the x intercept is
.
So, in our case, the y intercept is
and the x intercept is
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at
. Using the properties of derivatives, we get
. So evaluated at
we get 
Replacing the values in our previous findings we get that the y intercept is

The x intercept is

The triangle in consideration has height
and base
. So the area is

So regardless of the point we take on the graph, the area of the triangle is always 2.
So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14
Answer:
8
Step-by-step explanation:
dog=3x
cat=x
3x+x=32
4x=32
4/4
32/4
x=8
3(8)=24
x=8
So she trained 24 dogs and 8 cats
Answer:
maximum number: 171
Step-by-step explanation:
The $500 budget that will serve the people (x) with flat fee of $200 and $1.75 per person
1.75x + 200 = 500
1.75 x = 300
x = 171.4