The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
Maria needs 3 lengths of gutter of finish the shed.
Step-by-step explanation:
We need to calculate the perimeter of the rectangular shed to know how much 5 feet gutter is needed.
The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft
p = 2(10 + 9) = 2(19) = 38 ft
Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.
So 23 + 5x = 38
collecting like terms, we have
5x = 38 - 23
5x = 15
dividing through by 5 we have
5x/5 = 15/5
x = 15/5
x = 3
So, Maria needs 3 lengths of gutter of finish the shed.
0.43h + 0.65p + 1.31d = c
explanation:
h stands for hotdogs, p for pretzels, and d for drinks. c represents the total cost.
each price next to the variable describes the profit per item.
hope this helps! :D
Answer:
see explanation
Step-by-step explanation:
Simplify the radical
= 
= 
Square both sides
T² = ( multiply both sides by (g + f) )
T²(g + f) = Ufg ( distribute left side )
T²g + T²f = Ufg ← subtract Ufg from both sides
T²g - Ufg + T²f = 0 ← subtract T²f from both sides
T²g - Ufg = - T²f ← factor out g from each term on the left side
g(T² - Uf) = - T²f ← divide both sides by (T² - Uf)
g = - 
= 
here's the solution,
- n = 11
- a = 5 ( a = first term )
- d = 6 ( d = common difference )
we know,
=》
=》
=》
=》
=》
nth term ( 11th term ) = 65
