Asked by haneefa etimady on May 29, 2024
Verified
Find and simplify f(a) +f(6) for the function f(x) =12x−7f ( x ) = 12 x - 7f(x) =12x−7 .
A) f(a) +f(6) =12a+58f ( a ) + f ( 6 ) = 12 a + 58f(a) +f(6) =12a+58
B) f(a) +f(6) =12a+79f ( a ) + f ( 6 ) = 12 a + 79f(a) +f(6) =12a+79
C) f(a) +f(6) =12a+36f ( a ) + f ( 6 ) = 12 a + 36f(a) +f(6) =12a+36
D) f(a) +f(6) =12a+11f ( a ) + f ( 6 ) = 12 a + 11f(a) +f(6) =12a+11
E) f(a) +f(6) =12a+72f ( a ) + f ( 6 ) = 12 a + 72f(a) +f(6) =12a+72
Simplify
To simplify an expression means to reduce it to its simplest form, by performing all possible operations and combining like terms.
Evaluate
To calculate the value of an expression by substituting variables with given numerical values and performing the operations in the expression.
- Assess and streamline rational expressions.
- Analyze expressions by inserting specific numbers into functions.
Verified Answer
UC
Ushmita Chettri
May 31, 2024
Final Answer :
A
Explanation :
First, find f(a)=12a−7f(a) = 12a - 7f(a)=12a−7 . Then, find f(6)=12(6)−7=72−7=65f(6) = 12(6) - 7 = 72 - 7 = 65f(6)=12(6)−7=72−7=65 . Adding them together gives f(a)+f(6)=12a−7+65=12a+58f(a) + f(6) = 12a - 7 + 65 = 12a + 58f(a)+f(6)=12a−7+65=12a+58 .
Learning Objectives
- Assess and streamline rational expressions.
- Analyze expressions by inserting specific numbers into functions.