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What is the answer and the steps for 1-3?

What is the answer and the steps for 1-3?-example-1
User PhilT
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1 Answer

6 votes

Answer:

Explanation:

Background: f(x) is the same thing as y but represents the value of x in parentheses.

Ej: f(2)=3x+2, this solution would be "8" because the value in the parentheses represents the value of x. (if the parentheses have an "x" then the value of x is unknown.

1.

f(x)=5x+8 g(x)=(x-8)/5

f(g(x))=?, 5((x-8)/5)+8

f(g(x))=x-8+8

f(g(x))=x

g(f(x))=5x+8-8/5

g(f(x))=5x/5

g(f(x))=x

g(f(x))=f(g(x)) because they both equal x proving they are inverses

Sorry, I don't have time to answer the rest of the steps (I will give the answers to check the work).

All of them are x=x because they are all inverse functions.

User RogerV
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