Given h(x)=-2x+5, find h(-6)
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Answers
Answer:
Learn how to verify whether two functions are inverses by composing them. For example, are f(x)=5x-7 and g(x)=x/5+7 inverse functions?
Step-by-step explanation:
This article includes a lot of function composition. If you need a review on this subject, we recommend that you go here before reading this article.
Inverse functions, in the most general sense, are functions that "reverse" each other. For example, if a function takes aaa to bbb, then the inverse must take bbb to aaa.
Let's take functions fff and ggg for example: f(x)=\dfrac{x+1}{3}f(x)=
3
x+1
f, left parenthesis, x, right parenthesis, equals, start fraction, x, plus, 1, divided by, 3, end fraction and g(x)=3x-1g(x)=3x−1g, left parenthesis, x, right parenthesis, equals, 3, x, minus, 1.
Notice how f(5)=2f(5)=2f, left parenthesis, 5, right parenthesis, equals, 2 and g(2)=5g(2)=5g, left parenthesis, 2, right parenthesis, equals, 5. Please show me the calculations
Here we see that when we apply fff followed by ggg, we get the original input back. Written as a composition, this is g(f(5))=5g(f(5))=5g, left parenthesis, f, left parenthesis, 5, right parenthesis, right parenthesis, equals, 5.