The (x + 4) tells you that the function is moving 4 units to the left.
the answer would be letter C
The remandor of the first number is the answer
Answer: answer is 19.2
a squared + b squared = c2
81 + 289 = 370
square root of 370 = 19.235
answer is 19.2
when you get this kind of exercise, you just need to check which equations resemble the graph
A. y= 6-4x
y= -4x+6
B. y= -4x+8-2
y= -4x+6
C. y= -4x-8-1
y= -4x-9
D. y= -4x+6
-> A, B and D are the same equations
-> the easiest way to find which graph is correct (A/B/D OR C), is to create the graph yourself using the drawn graph:
y= ax+b
a= negative (the line goes down)
to find the a you go 1 step to the left and look which point of the graph has the same x. in this exercise it's when y=4
a=-4
b= the y-coordinate of the point where the graph cuts the y-axis.
b=6
-> graph shown in picture is y= -4x+b
-> graph A/B/D is correct
-> C is does not represent this line
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
