Problem preview
F-BF.1.b Warmup M1-016-A07-V01

Combine standard functions using arithmetic operations to build models.

Evaluate and interpret combined functions such as (f+g)(a), (f-g)(a), and (fg)(a) from given function values

Problem

Use these function values to evaluate \((f+g)(2)\): \(f(2)=7\) and \(g(2)=5\).

Big Picture

What this problem is really about

When both function values are already supplied for the same input, no underlying formulas need to be reconstructed. We’ll expand the combined-function notation, match each named output to its given value, and apply exactly the operation shown outside. This keeps addition distinct from multiplication or composition and avoids doing unnecessary work.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-BF.1.b
Category
Functions
Domain
Building Functions
Objective
Combine standard functions using arithmetic operations to build models.
Problem type
Evaluate and interpret combined functions such as (f+g)(a), (f-g)(a), and (fg)(a) from given function values