Given f ( x ) = 6 x + 4 f ( x ) = 6 x + 4 f ( x ) = 6 x + 4 , evaluate f ( x + 5 ) − f ( 5 ) x \frac { f ( x + 5 ) - f ( 5 ) } { x } x f ( x + 5 ) − f ( 5 ) .A) 6 6 6 B) 6 x + 30 x \frac { 6 x + 30 } { x } x 6 x + 30 C) 6 x \frac { 6 } { x } x 6 D) 5E) − 6 x - \frac { 6 } { x } − x 6

Question

Given   f ( x )  = 6 x + 4 f ( x )  = 6 x + 4 f ( x )  = 6 x + 4   , evaluate   f ( x + 5 )  − f ( 5 )  x \frac { f ( x + 5 )  - f ( 5 )  } { x } x f ( x + 5 )  − f ( 5 )  ​   .A)    6 6 6 B)    6 x + 30 x \frac { 6 x + 30 } { x } x 6 x + 30 ​ C)    6 x \frac { 6 } { x } x 6 ​ D)  5E)    − 6 x - \frac { 6 } { x } − x 6 ​

Autumn Jewel Wood · Accepted Answer

Final Answer : A, Explanation :   First, calculate   f ( x + 5 ) = 6 ( x + 5 ) + 4 = 6 x + 30 + 4 = 6 x + 34 f(x+5) = 6(x+5) + 4 = 6x + 30 + 4 = 6x + 34 f ( x + 5 ) = 6 ( x + 5 ) + 4 = 6 x + 30 + 4 = 6 x + 34  . Then, calculate   f ( 5 ) = 6 ( 5 ) + 4 = 30 + 4 = 34 f(5) = 6(5) + 4 = 30 + 4 = 34 f ( 5 ) = 6 ( 5 ) + 4 = 30 + 4 = 34  . The expression becomes   6 x + 34 − 34 x = 6 x x = 6 \frac{6x + 34 - 34}{x} = \frac{6x}{x} = 6 x 6 x + 34 − 34 ​ = x 6 x ​ = 6  .

Given $f (x) = 6 x + 4$ , evaluate $x\frac { f ( x + 5 ) - f ( 5 ) } { x }$ .

A) $6$
B) $6x+30x\frac { 6 x + 30 } { x }$
C) $6x\frac { 6 } { x }$
D) 5
E) $\frac { 6 } { x }$

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Learning Objectives

Related questions

Given f(x) =6x+4f ( x ) = 6 x + 4f(x) =6x+4 , evaluate f(x+5) −f(5) x\frac { f ( x + 5 ) - f ( 5 ) } { x }xf(x+5) −f(5) ​ .A) 666 B) 6x+30x\frac { 6 x + 30 } { x }x6x+30​ C) 6x\frac { 6 } { x }x6​ D) 5E) −6x- \frac { 6 } { x }−x6​

Definitions

Learning Objectives

Learning Objectives

Related questions

Given $f (x) = 6 x + 4$ , evaluate $x\frac { f ( x + 5 ) - f ( 5 ) } { x }$ .

A) $6$
B) $6x+30x\frac { 6 x + 30 } { x }$
C) $6x\frac { 6 } { x }$
D) 5
E) $\frac { 6 } { x }$