Answer:
y = 3x + 12
Step-by-step explanation:
Slope of y = 3x + 5 is 3
Line parallel will have same slope 3
Line intersects point at (-2, 6)
Replace into y = mx + b to find
6 = 3(-2) + b
6 = -6 + b
12 = b
Equation of line:
y = 3x + 12
After calculation, the composite function f(g(0)) returns the value 2 as the response.
Given, the values of the functions are:
f(x) = √₋x₊1 and g(x) = ₋x₋3
we need to find f(g(0)) = ?
F of g of x is another name for a composite function. Normal representations include f(g(x)) or (f g)(x), which denote that x = g(x) should be used in place of f(x). While the function g (x) is referred to as an inner function, the function f (x) is referred to as an outer function.
It means that every instance of an x in the function f is replaced with the function g(x).
∵ g(x) = ₋x₋3 so we can substitute this in the following expression:
g(0) = -(0) ₋ 3
g(0) = ₋3
Now in place of g(0) we can write ₋3, hence the changed expression becomes:
f(g(0)) = f(₋3)
= √₋(₋3)₊1
= √4
∴ f(g(0)) = 2
Hence we get the calculated function value as 2.
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Answer:Takeyour time
Step-by-step explanation:
Let's say you had the two numbers 12 and 3. They multiply to 12*3 = 36. Applying the square root leads to sqrt(36) = 6.
Therefore, the geometric mean of 12 and 3 is 6.
In general, the geometric mean between two numbers x and y is sqrt(x*y). You multiply first, then apply the square root.
If you are working with 3 numbers, you multiply them out like before, but you instead apply the cube root. With 4 numbers you multiply like normal, but this time you would use a fourth root, and so on. With n numbers, you'll apply the nth root.