Function Operations

​Multiplying

Functions

Multiple Choice

Let $$f\left(x\right)=3x+5$$  and $$g\left(x\right)=x^2-4x$$  . Find $$\left(g\circ f\right)\left(x\right)$$  .

• $$\left(3x+5\right)^2-4x$$  

•   $$\left(3x+5\right)-4x$$  

• $$\left(3x+5\right)^2-4\left(3x+5\right)$$   

• $$\left(3x+5\right)^2+5$$   

Multiple Choice

Let $$f\left(x\right)=3x+5$$  and $$g\left(x\right)=x^2-4x$$  . Find $$\left(f\circ g\right)\left(x\right)$$  .

• $$3\left(x^2-4x\right)+5$$  

•   $$3\left(x^2-4x\right)$$  

• $$3^2x^2+5x^2-4x$$   

• $$3x\left(x^2-4x\right)\ +5$$   

Fill in the Blank

Given g(x) = x² - x, find g(-3).

Fill in the Blank

Given g(x) = 3x - 4x² + 2, find g(5).

Multiple Choice

f(x)= 4x-7

g(x)= 6x-8

Find f(x)+g(x)

• 2x+15

• 10x-15

• -2x-15

• 10x+1

Multiple Choice

If $$f\left(x\right)=2x+1\ \ and\ \ g\left(x\right)=x^2-7$$ , find $$\left(f\ -\ g\right)\left(x\right)$$  

• x² - 2x - 8

• 2x² - 15

• -x² + 2x + 8

• -x² + 2x - 6

Multiple Choice

$$f\left(n\right)=x^2+1,\ g\left(n\right)=2x-5$$  

Find $$\left(f-g\right)\left(n\right)$$  

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

Multiple Choice

f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)

• 16x² + 8x - 3

• 16x² - 8x + 3

• 16x² - 8x - 3

• 16x² - 16x - 3

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Let $$f\left(x\right)=3x^2+4x$$   and $$g\left(x\right)=8x-3$$  . Find $$\left(\frac{f}{g}\right)\left(x\right)$$  .

• $$\frac{3x^2+4x}{8x-3}$$   

•   $$\frac{3x^2}{8x}-\frac{4x}{3}$$  

•   $$3x^2+\frac{4x}{8x}-3$$  

•   $$\frac{3}{4}x^2-\frac{8}{3}x$$  

Multiple Choice

Let $$f\left(x\right)=3x^2+4x$$   and $$g\left(x\right)=8x-3$$  . Find $$\left(\frac{f}{g}\right)\left(2\right)$$  .

•    $$\frac{20}{13}$$  

•    $$1.5$$  

•    $$4$$  

•    $$\frac{20}{19}$$