Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Answer:
78
Step-by-step explanation:
5^2 = 25 5^3 = 125 them two added together equals 150
6^2 = 36 so 36 plus 36 equals 72
150-72=78
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The x- and y-intercepts are easily found:
<u><em>X-intercept</em></u>
Set y = 0 and divide by the coefficient of x.
-x +0 = 8
x = -8
__
<u><em>Y-intercept</em></u>
Set x = 0 and divide by the coefficient of y.
0 -2y = 8
y = -4
__
Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.
7/9% is not 7/9 of 1, it's 7/9 of 0.01.
So, it is 0.0078
Hope this helps!