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Let function ƒ be defined as: ƒx = 7x − 2. What does ƒ(4m) evaluate to?

Select one:
a.
26
b.
26m
c.
28m – 2
d.
28mx – 2

asked
User Yorah
by
8.1k points

1 Answer

4 votes

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.

answered
User Stephen Binns
by
7.5k points
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