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))
The measure of ABD=180°- 54°=26°
and then the measure of ADB= x
and x + 26° + 28°= 180°, sum of anlgle in a triagle property
it means x= 180°- 26-28=126°
application of sinus law in the triangle
sin 28 / BD = sin 126/ AD = sin 26/ 25 so we can deduce that
AD= 25sin126 / sin26= 46.12
let 's consider the triangle ADC, so for finding h, we have sin 28 = h / AD
and then h = AD x sin28=21.65
<span>Calculate the height of the tower is 21.65</span>
Answer:
28
Step-by-step explanation:
g(10)=3n-2
10=n
3(10)-2
REMEMBER PEMDAS
Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction.
3(10)=30
30-2=28
Hope this helps have a wonderful evening!
Answer:
3.5
Step-by-step explanation:
Answer: -2 1/3
Step-by-step explanation:
First, change the word into equation
9*x+3=6
Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3