Find ( g ∘ f ) ( x ) ( g \circ f ) ( x ) ( g ∘ f ) ( x ) where f ( x ) = 4 x + 5 f ( x ) = 4 x + 5 f ( x ) = 4 x + 5 and g ( x ) = x − 2 g ( x ) = x - 2 g ( x ) = x − 2 .A) 4 x + 3 4 x + 3 4 x + 3 B) 4 x 2 − 3 x − 10 4 x ^ { 2 } - 3 x - 10 4 x 2 − 3 x − 10 C) 4 x − 3 4 x - 3 4 x − 3 D) 5 x + 3 5 x + 3 5 x + 3 E) 4 x 2 − 8 x + 5 4 x ^ { 2 } - 8 x + 5 4 x 2 − 8 x + 5

Question

Find   ( g ∘ f )  ( x )  ( g \circ f )  ( x )  ( g ∘ f )  ( x )    where   f ( x )  = 4 x + 5 f ( x )  = 4 x + 5 f ( x )  = 4 x + 5   and   g ( x )  = x − 2 g ( x )  = x - 2 g ( x )  = x − 2   .A)    4 x + 3 4 x + 3 4 x + 3 B)    4 x 2 − 3 x − 10 4 x ^ { 2 } - 3 x - 10 4 x 2 − 3 x − 10 C)    4 x − 3 4 x - 3 4 x − 3 D)    5 x + 3 5 x + 3 5 x + 3 E)    4 x 2 − 8 x + 5 4 x ^ { 2 } - 8 x + 5 4 x 2 − 8 x + 5

Ngornly Hangming · Accepted Answer

Final Answer : A, Explanation :   To find   ( g ∘ f ) ( x ) (g \circ f)(x) ( g ∘ f ) ( x )  , we first apply   f ( x ) f(x) f ( x )   and then apply   g ( x ) g(x) g ( x )   to the result. So, we start with   f ( x ) = 4 x + 5 f(x) = 4x + 5 f ( x ) = 4 x + 5  . Applying   g ( x ) g(x) g ( x )   to this, we get   g ( f ( x ) ) = g ( 4 x + 5 ) = ( 4 x + 5 ) − 2 = 4 x + 3 g(f(x)) = g(4x + 5) = (4x + 5) - 2 = 4x + 3 g ( f ( x )) = g ( 4 x + 5 ) = ( 4 x + 5 ) − 2 = 4 x + 3  .

Find $\circ f ) ( x )$ where $f (x) = 4 x + 5$ and $g (x) = x - 2$ .

A) $4 x + 3$
B) $4 x ^ { 2 } - 3 x - 10$
C) $4 x - 3$
D) $5 x + 3$
E) $4 x ^ { 2 } - 8 x + 5$

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Learning Objectives

Related questions

Find (g∘f) (x) ( g \circ f ) ( x ) (g∘f) (x) where f(x) =4x+5f ( x ) = 4 x + 5f(x) =4x+5 and g(x) =x−2g ( x ) = x - 2g(x) =x−2 .A) 4x+34 x + 34x+3 B) 4x2−3x−104 x ^ { 2 } - 3 x - 104x2−3x−10 C) 4x−34 x - 34x−3 D) 5x+35 x + 35x+3 E) 4x2−8x+54 x ^ { 2 } - 8 x + 54x2−8x+5

Definitions

Learning Objectives

Learning Objectives

Related questions

Find $\circ f ) ( x )$ where $f (x) = 4 x + 5$ and $g (x) = x - 2$ .

A) $4 x + 3$
B) $4 x ^ { 2 } - 3 x - 10$
C) $4 x - 3$
D) $5 x + 3$
E) $4 x ^ { 2 } - 8 x + 5$