Writing and interpreting functions

Perform the indicated operation and evaluate for the given value.

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 $f\left(x\right)\ =\ x+7\ \ \ \ and\ \ \ \ \ g\left(x\right)\ =\ -2x\ -9$  
Find:  $\left(g-f\right)\ \left(2\right)$  

• -2

• 22

• 2

• -22

(g- f)(x)

• 5x² + 3x

• -3x² - 13x

• 3x² + 11x

• -3x² + 3x

 

When f(x) = 9 - 3x and g(x) = 5x - 7

find f(x) + g(x).

• 2x - 2

• 14x - 10

• 2x + 2

• -8x + 2

Given f(x)=-2x+1 and g(x)=5x-7, find (g-f)(x)

• 3x+6

• 3x-6

• 7x-8

• 7x+8

Find $\left(f\cdot g\right)\left(x\right)$  

 $f\left(x\right)=x-5$  
 $g\left(x\right)=x^2-9$  

•  $x^3-5x^2-9x+45$  

•  $x^3+5x^2+9x-45$  

•  $x^2-9x+45$  

•  $x^2+x-14$  

Which of the following is the first step in performing operations on functions?

• Transform into operation form.

• Replace the value of each function.

• Remove the grouping symbols.

• Combine like terms then perform the indicated operation

Given f(x) = 2x+6 and g(x) = 4x-7

Find 5f(x) - 3g(x).

• 6x-1

• -2x+9

• -4x+12

• -2x+51

f(x)= x+3

g(x)= x-2

Find (g(x) / f(x))

List any restrictions on the domain

• (x + 3)/(x - 2), domain cannot be -2

• (x - 2)/(x + 3), domain cannot be -3

• -2/3, domain cannot be 3

• 3/2, domain cannot be 2

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