If $f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3$ find $( g \circ f ) ( 10 )$ .
A) $-$ 9
B) 10
C) 9
D) $-$ 11

Name: If $f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3$ find $( g \circ f ) ( 10 )$ . A) $-$ 9 B) 10 C) 9 D) $-$ 11
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Question

Quizplus · Accepted Answer

First, we need to plug in 10 into the expression for f(x). This gives us 
f(10) = sqrt(10 + 6) = sqrt(16) = 4
Next, we need to plug in f(10) into the expression for g(x). This gives us 
g(f(10)) = g(4) = 3(4) - 3 = 9
Therefore, the answer is C, 9.

If f(x)=x+6 and g(x)=3x−3f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3f(x)=x+6​ and g(x)=3x−3

If $f ( x ) = \sqrt { x + 6 } \text { and } g ( x ) = 3 x - 3$