Six goes into 102 seventeen(17) times

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:**

$1

**Step-by-step explanation:**

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 10 × 0.05 × 2 = 1

I = $ 1.00

The simple interest accumulated

on a principal of $ 10.00

at a rate of 5% per year

for 2 years is $ 1.00.

**Answer: **

**Step-by-step explanation:**

**Let x be the amount of flour and y be the amount of sugar ordered.**

**Since, the order of flour and sugar weighs 15 pounds.**

Therefore,

Also, **Flour costs $0.80 per pound and sugar costs $0.50 per pound. **

The cost of ordered flour=$0.80x

The cost of ordered sugar=$0.50y

Now, the total cost of the order=

Hence, for the given situation the **system of equations** is:-

|x| is greater then 5 on |X|>5 and the other x is lees then 5 on |X|<5