Algebra II Exercise: Operations with Functions

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Algebra II Exercise: Operations with Functions

Review Course Notes

Question Group #1

Directions and/or Common Information:

f(x) = 2x g(x) = x - 2

h(x) = x² k(x) = x/2

Use the functions above to perform the following operations:

k(x) ● f(x)

1.

g(x) - h(x)

2.

f(x) - k(x)

3.

h(x) + k(x)

4.

h(x) ● g(x)

5.

f(x) ÷ k(x)

6.

g(x) ● h(x)

7.

f(x) + g(x)

8.

Question Group #2

Directions and/or Common Information:

f(x) = 2x g(x) = x - 2

h(x) = x² k(x) = x/2

Use the functions above to evaluate the following composite functions:

h[f(0)]

1.

f[g(2)]

2.

g[h(5)]

3.

h[k(4)]

4.

k[f(3)]

5.

f[k(-2)]

6.

g[g(-3)]

7.

g{f[h(-1)]}

8.

B Horn

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