Find ( f ∘ g ) ( x ) ( f \circ g ) ( x ) ( f ∘ g ) ( x ) where f ( x ) = 6 x + 9 f ( x ) = 6 x + 9 f ( x ) = 6 x + 9 and g ( x ) = x − 7 g ( x ) = x - 7 g ( x ) = x − 7 .A) 6 x + 2 6 x + 2 6 x + 2 B) 6 x − 33 6 x - 33 6 x − 33 C) 6 x 2 − 33 x − 63 6 x ^ { 2 } - 33 x - 63 6 x 2 − 33 x − 63 D) 6 x 2 − 42 x + 9 6 x ^ { 2 } - 42 x + 9 6 x 2 − 42 x + 9 E) 7 x + 33 7 x + 33 7 x + 33

Question

Find   ( f ∘ g )  ( x )  ( f \circ g )  ( x )  ( f ∘ g )  ( x )    where   f ( x )  = 6 x + 9 f ( x )  = 6 x + 9 f ( x )  = 6 x + 9   and   g ( x )  = x − 7 g ( x )  = x - 7 g ( x )  = x − 7   .A)    6 x + 2 6 x + 2 6 x + 2 B)    6 x − 33 6 x - 33 6 x − 33 C)    6 x 2 − 33 x − 63 6 x ^ { 2 } - 33 x - 63 6 x 2 − 33 x − 63 D)    6 x 2 − 42 x + 9 6 x ^ { 2 } - 42 x + 9 6 x 2 − 42 x + 9 E)    7 x + 33 7 x + 33 7 x + 33

Sienisha Cooper · Accepted Answer

Final Answer : B, Explanation :   ( f ∘ g ) ( x ) = f ( g ( x ) ) = f ( x − 7 ) = 6 ( x − 7 ) + 9 = (B)   6 x − 33 (f \circ g)(x) = f(g(x)) = f(x-7) = 6(x-7) + 9 = \boxed{	extbf{(B) }6x-33} ( f ∘ g ) ( x ) = f ( g ( x )) = f ( x − 7 ) = 6 ( x − 7 ) + 9 = (B)  6 x − 33 ​

Find $\circ g ) ( x )$ where $f (x) = 6 x + 9$ and $g (x) = x - 7$ .

A) $6 x + 2$
B) $6 x - 33$
C) $6 x ^ { 2 } - 33 x - 63$
D) $6 x ^ { 2 } - 42 x + 9$
E) $7 x + 33$

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