x² - 3 is the composite function for f(g(x)).
• Composite functions are functions in mathematics in which the output of one function is used as the input of other function.
• In simpler words, a composite function is a function that is generally written inside another function.
• The function g(x) is referred to as the inner function, whereas the function f(x) is referred to as the outer function.
We have:
F(x) = x – 4
G(x) = x^2 +1
The composite function will be:
= f(g(x))
= (x^2 + 1)-4
= x^2 + 1 – 4
= x^2 – 3
As a result, the composite function for f(g(x)) is x2-3.
Learn more about composite functions here.
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Answer:
9
Step-by-step explanation:
6n = n² - 27
n² - 6n - 27 = 0
n² - 9n + 3n - 27 = 0
n(n - 9) + 3(n - 9) = 0
(n - 9)(n + 3) = 0
n = -3, 9
The answer is 8, because CA and BC are equal
Answer:
centre = (6, - 2 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 6)² + (y + 2)² = 9 ← is in standard form
with (h, k ) = (6, - 2 ) ← centre
