Answer:
- <u><em>g∘f (0) = 1</em></u>
Explanation:
The <em>composition</em> of the <em>functions</em> f and g represented by g ∘ f ( 0 ) means that g is applied to f(0), i.e f(0) is the input to the function g.
Since f(0) = 1, you are going fo find g(1):
First create the equation y=Mx+ B
B is the y intercept so when y = 0, B = -1.
Now we have y=Mx - 1
The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)
Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0
Plug them into the equation and solve
M = (3 + 1) / (2 - 0)
M = 4/2 = 2
Now we have the equation y = 2x - 1
Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1
2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
Answer:
its 16
as we know the square root of 64 is 6 and when it is multiplied by 2 its answer is 16.
Step-by-step explanation:
Answer:
f(-3) = 21
g(3) = 69
Step-by-step explanation:
We have been given the following functions;
f(x) = –6x + 3
g(x) = 3x + 21x–3.
To find f(-3) , we simply substitute x = -3 in the function of f(x);
f(-3) = -6(-3) + 3
= 21
To find g(3) , substitute x = 3 in the function of g(x);
g(3) = 3(3) +21(3) - 3
= 69
Step-by-step explanation:
29,30,31 is three consecutive interger that add up to 90