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:
Step-by-step explanation:
The equation for that is

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
and now we will factor by grouping:
and factor out what's common:

The factor (x + 10) is common, so we will now factor that out:

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
simplifies to
100 - 30 which does in fact equal 70. OR
which simplifies to
49 + 21 which also equals 70.
So you're done!
Answer:
O length = 11 inches width = 12.5 inches
Step-by-step explanation:
Answer:
611 square miles
Step-by-step explanation:
Area of triangle = (1/2)*a*b*sinC (formula when u are not given the height of the triangle, but u are given with the angle.)
= (1/2)*30*47*sin(60°)
= 610.54 square miles (2 d.p)
≈611 square miles (rounded to nearest mile)
:)
Answer:
ABC- Isoceles DEF- Scalene GHI- Equilateral
Step-by-step explanation:
I think for the first part you just pick shapes from your room that have the same equal/unequal sides as the triangle