The function f(x)=5x+4f(x)=5x+4 models the height of a tree, where x represents the years since the tree was planted for year 3
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Answer:
(4, 1)
Step-by-step explanation:
See attachment courtesy of Desmos.
The statement that -6 is in the domain of f(g(x)) is true
<h3>Complete question</h3>If f(x) = -2x + 8 and g(x) = , which statement is true?
- -6 is in the domain of f(g(x))
- -6 is not in the domain of f(g(x))
We have:
f(x) = -2x + 8
Start by calculating the function f(g(x)) using:
f(g(x)) = -2g(x) + 8
Substitute
Set the radicand to at least 0
Subtract 9 from both sides
This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........
Hence, the statement that -6 is in the domain of f(g(x)) is true
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