Operations of Functions

Show:

Questions Responses

Addition

Subtraction

Multiplication

Composition

Mystery

100

Given

f(x)=3x^2+4

and

g(x)=x+3

Find

f(x)+g(x)

f(x)+g(x)=3x^2+x+7

100

Given

f(x)=3x+3

and

g(x)=2x+2

Find

(f-g)(x)

(f-g)(x)=x+1

100

Given

f(x)=4x+2

and

g(x)=2x+1

Find

(f*g)(x)

(f*g)(x)=8x^2+8x+2

100

Given

f(x)=3x

and

g(x)=-4

Find

(f∘g)(x)

(f∘g)(x)=-12

100

Given

f(x)=x^2+5x+2

and

g(x)=3x+2

Find

(f*g)(x)

(f*g)(x)=3x^3+17x^2+16x+4

200

Given

f(x)=3x^2-4

and

g(x)=x^2+7x

Find

(f+g)(x)

(f+g)(x)=4x^2+7x-4

200

Given

f(x)=7x^2+6x+5

and

g(x)=5x^2+4x+3

Find

f(x)-g(x)

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

200

Given

f(x)=7x^2+5

and

g(x)=5x^2+3

Find

f(x)*g(x)

f(x)*g(x)=35x^4+46x^2+15

200

Given

f(x)=4x-5

and

g(x)=x-3

Find

f(g(x))

f(g(x))=4x-17

200

Given

f(x)=x-2

and

g(x)=3x^2

and

h(x)=-2x

Find

(h+f*g)(x)

(h+f*g)(x)=3x^2-6x^2-2x

300

Given

f(x)=4x+2

and

g(x)=-4x-4

and

h(x)=2x-3

Find

(f+g+h)(x)

(f+g+h)(x)=2x-5

300

Given

f(x)=2x^2-3x+4

and

g(x)=2x^2+3x-3

and

h(x)=3x^2-5x+1

Find

(f+g-h)(x)

(f+g-h)(x)=x^2+5x

300

Given

f(x)=x^2-16

and

g(x)=x+4

Find

f(x)[g(x)]

f(x)[g(x)]=x^3+4x^2-16x-64

300

Given

f(x)=3x^2-4

and

g(x)=3x

Find

f(g(3))

f(g(x))=3(3x)^2-4

f(g(x))=3(9x^2)-4

f(g(x))=27x^2-4

So

f(g(3))=239

300

Given

f(x)=-3x^2+5

and

g(x)=-2x+3

Find

f(g(x))

(f(g(x))=-3(-2x+3)^2+5

(f(g(x))=-3(4x^2-12x+9)+5

So

(f(g(x))=-12x^2+36x-22

400

Given

f(x)=-2x^2-3x+4

and

g(x)=2x^2+3x-3

Find

2[(f+g)(x)]

(f+g)(x)=1

So

2[(f+g)(x)]=2

400

Given

f(x)=-3x^2-4x+5

and

g(x)=-3x^2+1x-2

Find

(f-g)(2)

(f-g)(x)=-5x+7

So

(f-g)(2)=-3

400

Given

f(x)=4x-3

and

g(x)=-3x+2

Find

(f*g)(-1)

(f*g)(x)=-12x^2+-1x-6

So,

(f*g)(-1)=-35

400

Given

f(x)=-x^2+2

and

g(x)=-x-3

Find

(g∘f)(x)

(g∘f)(x)=-(-x^2+2)-3

(g∘f)(x)=x^2-2-3

(g∘f)(x)=x^2-5

400

Given

f(x)=2x^2-4

and

g(x)=x+1

and

h(x)=5x

Find

f(g(x))+h(x)

f(g(x))=2(x+1)^2-4

f(g(x))=2(x^2+2x+1)-4

f(g(x))=2x^2+4x+2-4

f(g(x))=2x^2+4x-2

So

f(g(x))+h(x)=2x^2+9x-2

500

Given

f(x)=-2x^2-7x+5

and

g(x)=3x^2+7x+3

Find

(f+g)(3)

(f+g)(x)=x^2+8

So

(f+g)(3)=17

500

Given

f(x)=x+4

and

g(x)=2x^2-7

and

h(x)=2x+5

Find

(f-g-h)(x)

(f-g-h)(x)=(x+4)-(2x^2-7)-(2x+5)

(f-g-h)(x)=x+4-2x^2+7-2x-5)

(f-g-h)(x)=-2x^2-x+6

500

Given

f(x)=-2x+4

Find

2f(x)^2

f(x)^2=(-2x+4)^2

f(x)^2=(-2x+4)(-2x+4)

f(x)^2=4x^2-16x+16

So

2f(x)^2=8x^2-32x+32

500

Given

f(x)=x^2+4x+4

and

g(x)=2x-4

and

h(x)=3x

Find

f(g(h(x)))

f(g(h(x)))=36x^2-44x+20

500

Given

f(x)=4x+3

and

g(x)=2x^2+1

Find

(g∘f)(x)

(g∘f)(x)=32x^2+48x+19