Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
Answer:
To find out the range, you check the minimum and maximum of the graph, and then check the y-component of these minimum and maximum.
You would get the minimum(-6, -6), and maximum(3, 4), get the y-component of these two points, you got the range: -6 to 4
Hope this helps!
:)
Answer:
The equation of line with given points and perpendicular to y-axis is
y = - 7
Step-by-step explanation:
Given as :
The given points as ( - 10 , - 7)
The equation of line is Y = mX + c
So The line will satisfy given points
Or, - 7 = m ( -10 ) + c
Now This line is perpendicular to y- axis
∴ The slop of line perpendicular to y axis is 0
So, - 7= 0 + c
or, c = - 7
∴ Equation of line is y = 0 + c
Or, y = - 7
Hence The equation of line with given points and perpendicular to y-axis is y = - 7 Answer
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
General equation of a circle with centre (h, k) is given by:
Now, the origin is the centre and radius is 20, so substituting these points in yields:
