Combine functions: add, subtract, multiply, divide and compose
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
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Table of f (x | f(x))
-2 | 9; -1 | 6; 0 | 3; 1 | 0; 2 | -3. Table of g (x | g(x)): -2 | -7; -1 | -5; 0 | -3; 1 | -1; 2 | 1.
Ari's worksheet has a table for f and a table for g. Combining works on the output columns, row by row. What is (f − g)(-1)?
Table of f (x | f(x))
0 | 5; 1 | 7; 2 | 9; 3 | 11; 4 | 13. Table of g (x | g(x)): 0 | 6; 1 | 3; 2 | 0; 3 | -3; 4 | -6.
In a notebook, Bo copies the tables of f and g shown. The new function works row by row on the outputs. What is (f·g)(3)?
Table of f (x | f(x))
-1 | 4; 0 | 1; 1 | 0; 2 | 1; 3 | 4. Table of g (x | g(x)): -1 | -6; 0 | -1; 1 | 4; 2 | 9; 3 | 14.
Esme fills a new column in pencil beside the tables of f and g. Each row combines the two outputs. What is (f − g)(2)?
Table of f (x | f(x))
-3 | -8; -2 | -5; -1 | -2; 0 | 1; 1 | 4. Table of g (x | g(x)): -3 | 10; -2 | 5; -1 | 2; 0 | 1; 1 | 2.
On a puzzle card, Jun sees the tables of f and g. The outputs in each row are combined. What is (f·g)(1)?
Table of f (x | f(x))
-2 | 1; -1 | -2; 0 | 2; 1 | 0; 2 | -1. Table of g (x | g(x)): -2 | 0; -1 | 2; 0 | -1; 1 | -2; 2 | 1.
Milo marks g(-1) = 2 in pencil on the g table. What is f(g(-1))?
Table of f (x | f(x))
0 | 3; 1 | 0; 2 | 4; 3 | 1; 4 | 2. Table of g (x | g(x)): 0 | 2; 1 | 4; 2 | 3; 3 | 0; 4 | 1.
On a puzzle card, Noah reads g(0) = 2 from the g table. What is f(g(0))?
On a worksheet, f(x) = x + 4 and g(x) = 2x − 6, so (f/g)(x) = (x + 4)/(2x − 6). Pia needs the x left out of the domain. What is it?
In a notebook, Ren writes (f/g)(x) = (x + 7)/(3x + 12). One x-value is not in its domain. What is it?
Tala divides f(x) = 3x − 1 by g(x) = 4x + 20 in pencil: (f/g)(x) = (3x − 1)/(4x + 20). Which x is left out of the domain?
On a puzzle card, (f/g)(x) = (x + 9)/(6x − 3). Zee needs the one x-value with no output. What is it?