Functions (general)

f(x) = 2x² - x + 1

g(x) = 3x² +2x - 3

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

• 2x² + 2

• 2x² - 2

• 14x² + 2

• 14x² - 2

 $g\left(x\right)=x^3+x^2$  
 $h\left(x\right)=3x+2$  
 $Find\left(g-h\right)(x)$  

•  $x^3-x^2-3x+2$  

•  $-x^3-x^2+3x+2$  

•  $-x^2+3x+2$  

•  $x^3+x^2-3x-2$  

f(x) = x²+9

g(x) = x-9

Find f(x)-g(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Demonstrate the ability to state or write the problem correctly:

• f(x)g(x) = –3x(–3x+6)

• f(x)g(x) = –3x(–3x)

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

Find  $\left(g+f\right)\left(0\right)$  

• 38

• 158

• 110

• -2

f(x) = x³ - 3x

g(x) = -4x + 1

Find f(x) ⋅ g(x)

• -4x³ - 5x² -3

• -4x³ + 2x² - 3x

• -4x⁴ + x³ + 12x² - 3x

• -4x⁴ - x³ + 12x² + 3x

Answer explanation

$f\left(x\right)\cdot g\left(x\right)=\left(x^3-3x\right)\left(-4x+1\right)$
$=-4x^4+x^3-12x^2-3x$

Which of the following is the third 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) = $x^2+4x-5$ 
g(x) = 2x - 1 ,
h(x) = x + 4
What is ( $h-f$ )(-1)?