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Korolek [52]
3 years ago
9

How to do composition of functions​

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0
<h2><u><em>If you rather have the link to get this info lmk!!</em></u></h2>

Example: f(x) = 2x+3 and g(x) = x2

"x" is just a placeholder. To avoid confusion let's just call it "input":

f(input) = 2(input)+3

g(input) = (input)2

Let's start:

(g º f)(x) = g(f(x))

First we apply f, then apply g to that result:

Function Composition - (g º f)(x) = (2x+3)2

What if we reverse the order of f and g?

(f º g)(x) = f(g(x))

First we apply g, then apply f to that result:

Function Composition - (f º g)(x) = 2x2+3

We get a different result!  When we reverse the order the result is rarely the same.  So be careful which function comes first.

<h2 />
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Answer:

a. x = \frac{3}{8}

b. g(0) = 3

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Step-by-step explanation:

Given

g(x) = 3 - 8x

Solving (a): When g(x) = 0

Substitute 0 for g(x)

g(x) = 3 - 8x

0 = 3 - 8x

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Solving (b): when x = 0

Substitute 0 for x

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g(0) = 3 - 8 * 0

g(0) = 3 - 0

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Solving (d): When x = 3

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solution is in attachment

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- f(x) = x^5 – 8x^3 – 9x (find all zeros/roots)​
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The 5 roots are 0, -3, 3, i, and -i.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

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