Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
Answer:
y = m x + b equation of a straight line
m = (y2 - y1) / (x2 - x1) slope of line
m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12
y = -x / 12 + b equation of line
Or b = y + x / 12
If y = 10 and x = 48 then b = 10 + 48 / 4 = 14
if y = 17 and x = -36 then b = 17 - 36 / 12 = 14
So b = 14 and y = -x / 12 + 14
Answer:
Dont get it either im stuck on it
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Find f(-3) :
f(x) = x² + 2x for x ≤ -3
That means for those values of x, less than or equal to -3, this is the function.
So, f(-3) = (-3)² + 2(-3) = 9 - 6 = 3
Now, f(-1) :
From the given data, we see it is: f(x) = 2
We take this because -1 lies between -3 and 4.
Now, f(-1) = 2
=>
For f(4) :
Clearly, the function is:
Therefore, <u>f(-3) + f(-1) - f(4) = 3 + 18 - (-1) = 3 + 18 + 1 = 22.</u>
Answer:
answer is:

Step-by-step explanation:
we are asked to find which system of equations can we use to find the roots of the equation:

since the system of equation in last part is given as:

so, on equating both the equations i.e. on equating both the values of 'y' we get the desired equation as:
.