Asked by Allison Belew on Jun 13, 2024
Verified
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) 5
E) −6x- \frac { 6 } { x }−x6
Evaluate
Finding out the numerical value associated with an expression.
- Review expressions by entering specific values into the functions.
- Understand the concept of a function and how to evaluate it at given points.
Verified Answer
AJ
Autumn Jewel WoodJun 19, 2024
Final Answer :
A
Explanation :
First, calculate f(x+5)=6(x+5)+4=6x+30+4=6x+34f(x+5) = 6(x+5) + 4 = 6x + 30 + 4 = 6x + 34f(x+5)=6(x+5)+4=6x+30+4=6x+34 . Then, calculate f(5)=6(5)+4=30+4=34f(5) = 6(5) + 4 = 30 + 4 = 34f(5)=6(5)+4=30+4=34 . The expression becomes 6x+34−34x=6xx=6\frac{6x + 34 - 34}{x} = \frac{6x}{x} = 6x6x+34−34=x6x=6 .
Learning Objectives
- Review expressions by entering specific values into the functions.
- Understand the concept of a function and how to evaluate it at given points.