Composition of Functions worksheets - Free Printable

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1) $f(g(-4)) = f(6(-4) + 4) = f(-20) = 10(-20) + 4 = -196$

2) $g(f(2)) = g(4(2) + 1) = g(9) = 3(9) + 3 = 30$

3) $f(g(-1)) = f(2(-1) + 4) = f(2) = 5(2) + 4 = 14$

4) $g(f(4)) = g(7(4) + 2) = g(30) = 2(30) + 3 = 63$

5) $g(f(2)) = g(2(2) + 4) = g(8) = 6(8) + 2 = 50$

6) $f(g(-2)) = f(3(-2) + 3) = f(-3) = 3(-3) + 6 = -3$

7) $f(g(4)) = f(4(4) + 2) = f(18) = 6(18) + 7 = 115$

8) $f(g(x)) = f(7x + 2) = 5(7x + 2) + 4 = 35x + 10 + 4 = 35x + 14$

9) $f(g(2)) = f(5(2) + 3) = f(13) = 4(13) + 2 = 54$

10) $g(f(1)) = g(11(1) + 1) = g(12) = 6(12) + 1 = 73$

11) $g(f(2)) = g(5(2) + 3) = g(13) = 6(13) + 4 = 82$

12) $f(g(-4)) = f(6(-4) + 4) = f(-20) = 11(-20) + 7 = -213$

13) $g(f(4)) = g(8(4) + 8) = g(40) = 4(40) + 4 = 164$

14) $f(g(x)) = f(8x + 2) = 11(8x + 2) + 5 = 88x + 22 + 5 = 88x + 27$

15) $f(f(3)) = f(5(3) + 7) = f(22) = 5(22) + 7 = 117$

16) $g(f(3)) = g(10(3) + 7) = g(37) = 6(37) + 4 = 226$

Parent Tip: Review the logic above to help your child master the concept of composite functions worksheet with answers.

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