Final answer:
To find ƒ(4m) for the function ƒ defined as ƒx = 7x − 2, you replace x with 4m and simplify to get 28m − 2, which is option c.
Step-by-step explanation:
The question asks what the function ƒ(4m) evaluates to if the function ƒ is defined as ƒx = 7x − 2. To solve this, we simply substitute 4m for x in the function's formula.
ƒ(4m) = 7(4m) − 2
By applying the distributive property, we multiply 7 by 4m:
ƒ(4m) = (7 × 4m) − 2
ƒ(4m) = 28m − 2
Therefore, the correct answer is 28m − 2, which corresponds to option c. This demonstrates how to apply the concept of function evaluation, using algebraic manipulation to replace the function's variable with a given expression and simplify.