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Worksheets

Operations of Functions

Total questions: 7

Worksheet time: 6mins

Name
Class
Date
1.

let f(x)=x+3 ; g(x)=2x7f\left(x\right)=x+3\ ;\ g\left(x\right)=2x-7 
multiply the following functions

 

a)

 2x2x212x^2-x-21  

b)

 =2x2+121=2x^2+1-21  

c)

 x =(y21)2x\ =\left(y-21\right)^2  

2.

 Let f and g be defined as  f(x)=33y2+16y5 ; g(x)=5y+10f\left(x\right)=33y^2+16y-5\ ;\ g\left(x\right)=5y+10 
find f + g

a)

 33y2+21y+533y^2+21y+5  

b)

 33y2+45y+833y^2+45y+8  

c)

 49y2+16y+1049y^2+16y+10  

d)

 49y2+21y+549y^2+21y+5  

3.

let f(x)=6x2+72x+8 ; g(x)=14x2f\left(x\right)=-6x^2+72x+8\ ;\ g\left(x\right)=14x-2  find f-g

a)

 6x3+58x+6-6x^3+58x+6  

b)

 6x2+58x+5-6x^2+58x+5  

c)

 6x2+58x+6-6x^2+58x+6  

d)

 6x2+58x+26-6x^2+58x+26  

4.

let f(x)=18x23x+65 ; g(x)=13x4f\left(x\right)=18x^2-3x+65\ ;\ g\left(x\right)=13x-4  find f-g

a)

 8x2x+168x^2-x+16  

b)

 18x16x+6918x^{ }-16x+69  

c)

 36x16x+6936x^{ }-16x+69  

d)

 18x216x+6918x^2-16x+69  

5.

let f(x)=5x+10 ;  g(x)=x2+3x+2f\left(x\right)=5x+10\ ;\ \ g\left(x\right)=x^2+3x+2  find f/g

a)

 2525  

b)

 5x+1\frac{5}{x+1}  

c)

 xx+5\frac{x}{x+5}  

d)

 3x+6\frac{3}{x+6}  

6.

let f(x) = x+2 ; g(x) = x2+5x+4x^2+5x+4 Find f x g

a)

 x3+7x2+14x+16x^3+7x^2+14x+16  

b)

 x2+7x3+14x+8x^2+7x^3+14x+8  

c)

 x+7x+14x+8x^{ }+7x^{ }+14x+8  

d)

 x3+7x2+14x+8x^3+7x^2+14x+8  

7.

let f(x)= 52xx+3\frac{52x}{x+3}  and g(x)= 6x+2\frac{6}{x+2}  

find f+g

a)

 52x2+110x+18x2+5x+6\frac{52x^2+110x+18}{x^2+5x+6}  

b)

 x2+110x+18x2+5x+6\frac{x^2+110x+18}{x^2+5x+6}  

c)

 52x2+110x+18x2+5x+36\frac{52x^2+110x+18}{x^2+5x+36}  

d)

 99