Every day, Bert spends an hour commuting to and from his office, driving at an average speed of 50 mph and taking the same route
1 answer:
You might be interested in
Answer:
<h2>The domain is all real values of x exceptStep-by-step explanation:
The function, .
g(x) = 5x - 4.
Hence, (f circle g) (x) = .
We need to find the domain of (f circle g) (x) .
The domain means the set of values of x, for which we will get a real value of (f circle g) (x).
The function will not give a real value when, 5x - 4 = 0 that is .
Hence, the domain of the function will be all real values of x rather than .
Answer:
The graph of f(x) is shifted up 50 units
The graph of f(x) is shifted right 10 units
The graph of f(x) is reflected over the x-axis
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the origin (0,0)
This is a vertical parabola open downward
The vertex is a maximum
The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.
Find the vertex of g(x)
Convert to vertex form
Complete the square
The vertex is the point (10,50)
so
To translate the vertex of (0,0) to (10,50)
The rule of the translation is
(x,y) ------> (x+10,y+50)
That means ----> The translation is 10 units at right and 50 units up
therefore
The transformations are
The graph of f(x) is shifted up 50 units
The graph of f(x) is shifted right 10 units
The graph of f(x) is reflected over the x-axis
For this case we have the following equation:
From here, we clear the value of x.
We have then:
Then, we look for the value of 2x. We have then:
Answer:
The value of 2x is given by: