Let g(x) = 3x+2 and f(x) = (x-2) /3. Find the value. g(g(0))a) ob) 8c) 6d) 2

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Dhruv Chadha asked Dec 17, 2023

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Let g(x) = 3x+2 and f(x) = (x-2) /3. Find the value. g(g(0))a) ob) 8c) 6d) 2

Mathematics
high-school

Dhruv Chadha asked Dec 17, 2023

by Dhruv Chadha

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1 Answer

14 votes

Explanation:

Given information

Given that,

g(x) = 3x + 2

f(x) = (x- 2) / 3

Find g(g(0)

g(g(x) means that the function of g is input into another function of g

i.e., x = 3x + 2

$\begin{gathered} g\mleft(g(x)=3\lbrack(3x+2)\rbrack+2\mright) \\ \text{open the parentheses} \\ g(g(x)\text{ ) = 9x + 6 + 2} \\ g(g(x))\text{ = 9}x\text{ + 8} \\ \text{Solve for g(g(0)) when x = 0} \\ g(g(0))\text{ = 9(0) + 8} \\ g(g(0))\text{ = 8} \end{gathered}$

Niall Douglas answered Dec 20, 2023

by Niall Douglas

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