Asked by Manpreet Dhaliwal on May 09, 2024
Verified
Find and simplify f(a+8) f ( a + 8 ) f(a+8) for the function f(x) =12x−7f ( x ) = 12 x - 7f(x) =12x−7 .
A) f(a+8) =12a+48f ( a + 8 ) = 12 a + 48f(a+8) =12a+48
B) f(a+8) =89f ( a + 8 ) = 89f(a+8) =89
C) f(a+8) =12a+103f ( a + 8 ) = 12 a + 103f(a+8) =12a+103
D) f(a+8) =12a+89f ( a + 8 ) = 12 a + 89f(a+8) =12a+89
E) f(a+8) =12a+13f ( a + 8 ) = 12 a + 13f(a+8) =12a+13
Simplify
To reduce a mathematical expression or equation to its simplest form by performing all operations and simplifying all terms.
Evaluate
To calculate the numerical value of an expression, equation, or function when certain values are known or substituted for variables.
- Appraise and reduce rational functions to their simplest form.
- Examine expressions through the substitution of certain values into functions.
Verified Answer
MH
Marwa HajayMay 13, 2024
Final Answer :
D
Explanation :
We substitute x=a+8x = a + 8x=a+8 into the function equation:
f(a+8)=12(a+8)−7=12a+96−7=12a+89.f(a+8) = 12(a+8) - 7 = 12a + 96 - 7 = 12a + 89.f(a+8)=12(a+8)−7=12a+96−7=12a+89.
Therefore, the answer is choice D.
f(a+8)=12(a+8)−7=12a+96−7=12a+89.f(a+8) = 12(a+8) - 7 = 12a + 96 - 7 = 12a + 89.f(a+8)=12(a+8)−7=12a+96−7=12a+89.
Therefore, the answer is choice D.
Learning Objectives
- Appraise and reduce rational functions to their simplest form.
- Examine expressions through the substitution of certain values into functions.