102 Operations on Functions

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Definitions

Operations on Functions

Notes L6-1: Operations on Functions

Given: f(x)=x^{2}+5x-2 and g(x)=3x-2

Evaluate each [2] amd [3].

(f+g)(x)

(g-f)(x)

Given: f(x)=x^{2}-7x+2 and g(x)=x+4

Evaluate each [4] and [5]:

(f\cdot g)(x)

(\frac{f}{g})(x)

Domain for [5]

Given: f(x)=x^{2}+x-15

g(x)=x-3

Evaluate each [7], [8], [9]:

(f-g)(x)

2(g \cdot f)(x) _{What does the 2 do?}

(\frac{f}{g})(x) _{remember to simplify}

Given f(x)=2x and g(x)=-4x+5

Evaluate [10] and [11]

(f+g)(x)

(\frac{f}{g})(x)

Domain for [10]

Given: f(x)=-x^{2}+6 and g(x)=2x^{2}+3x-5

Evaluate [13] and [14]

(f-g)(x)

(f \cdot g)(x)

Choose all that are true

I am confident in this lesson.

I would like some assistance.

I can add / subtract polynonmial functions.

I can multiply polynonmial functions.

I can divide polynonmial functions and find the domain.

102 Operations on Functions

Definitions

Notes L6-1: Operations on Functions

102 Operations on Functions

Definitions

Operations on Functions

Notes L6-1: Operations on Functions

(f+g)(x)

(g-f)(x)

(f\cdot g)(x)

(\frac{f}{g})(x)

Domain for [5]

(f-g)(x)

2(g \cdot f)(x) What does the 2 do?

(\frac{f}{g})(x) remember to simplify

(f+g)(x)

(\frac{f}{g})(x)

Domain for [10]

(f-g)(x)

(f \cdot g)(x)

Choose all that are true

Operations on Functions

(f+g)(x)

(g-f)(x)

(f\cdot g)(x)

(\frac{f}{g})(x)

Domain for [5]

(f-g)(x)

2(g \cdot f)(x) What does the 2 do?

(\frac{f}{g})(x) remember to simplify

(f+g)(x)

(\frac{f}{g})(x)

Domain for [10]

(f-g)(x)

(f \cdot g)(x)

Choose all that are true

2(g \cdot f)(x) _{What does the 2 do?}

(\frac{f}{g})(x) _{remember to simplify}

2(g \cdot f)(x) _{What does the 2 do?}

(\frac{f}{g})(x) _{remember to simplify}