Applications of Function Operations

g(n)=4n-4
f(n)=n³+4
Find (g+f)(n)

• -2n²-n+9
• -n³-4n
• -3n³-3n-5
• n³+4n

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1
• -5n+1
• -2n+1
• -6n-1

f(n)=n²+4n
g(n)=-n-5
Find f(n)+g(n)

• n²+3n-5
• -n³+2n-7
• n³+3n-3n
• n²-3n-5

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

f(n)=3x-4
g(n)=x³-2x²
Find (f-g)(n)

• -x²+x+2
• -x³+2x²+3x-4
• -x³+x²-4
• -x³-2x²-3x+4

f(x)=x²-4
h(x)=3x+3
f(g(x))

• 3x²-9
• 12x²+8x+5
• 16x²-36x+20
• 9x²+18x+5

f(x)=x³-3x
g(x)=-4x+1
Find f(x)*g(x)

• -4x³-5x²-3
• -4x³+2x²-3x
• -4x⁴+x³+12x²-3x
• -4x^4-x³+12x²⁺3x

g(x)=x-1
f(x)=x²-2x
Find (g-f)(x)

• -x²+3x-1
• -x³+x²+5x-4
• x²-3x+1
• x²+3x+1

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

• 6x⁴+12x³-4x²-8x
• -6x³+12x²+2x-4
• 6x³+12x²-2x-4
• 5x²-18x+20

g(x)=2x+2
f(x)=x-1
Find (gf)(x)

• -3x³-7x²-2x
• 2x³-2
• 2x²-2
• 2x²+4x+2