Function Operations Review

Given
f(x) = 3x² + 7x and
g(x) = 2x² - x - 1, find
(f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1C

When                           f(x) = 4x+8 and
g(x) = x+3, find
(f⋅g)(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1C

f(x)=x+3
g(x)=x-2
Find (g/f)(x) and the domain restriction.

• (x+3)/(x-2); domain: x≠2
• (x-2)/(x+3); domain: x≠-3
• -2/3; domain: ℝ
• 3/2; domain: ℝ

Tags

CCSS.HSF-BF.A.1B

f(x) = 3x-9
g(x) = 2x+4
Find f(x)/g(x) and the domain restriction.

• 3x-9/2x+4; domain: x≠2
• 3x-9/2x+4: domain: x≠3
• 3x-9/2x+4; domain: x≠ -2
• 3x-9/2x+4; domain: x≠ -3

Tags

CCSS.HSF-BF.A.1B

g(x) = -3x+7
h(x) = -x-10
Find g(x)/h(x) and the domain restriction.

• -3x+7/-x-10; domain: x≠7/3
• -3x+7/-x-10; domain: x≠-7/3
• -3x+7/-x-10; domain: x≠10
• -3x+7/-x-10; domain: x≠-10

Tags

CCSS.HSA.APR.D.7

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

• 13
• 0
• 26
• 6x²+8x+12

Tags

CCSS.HSF-BF.A.1B

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

• -2
• undefined
• 0
• 1

Tags

CCSS.HSF-BF.A.1B

 $f\left(x\right)=\sqrt{x-2};\ g\left(x\right)=\sqrt{x+4}.\ Find\ \left(\frac{g}{f}\right)\left(x\right)\ and\ its\ domain.$  

•  $\frac{\sqrt{x+4}}{\sqrt{x-2}};\ D:\ \left(2,\infty\right)$  

•  $\frac{\sqrt{x+4}}{\sqrt{x-2}};\ D:\ \left(-4,\infty\right)$  

•  $\frac{\sqrt{x+4}}{\sqrt{x-2}};\ D:\ \left(-\infty,-4\right)U\left(-4,2\right)U\left(2,\infty\right)$  

 $f\left(x\right)=\sqrt{x-2};g\left(x\right)=\sqrt{x+4}.\ Find\ \left(\frac{f}{g}\right)\left(x\right)\ and\ its\ domain.$  

•  $\frac{\sqrt{x-2}}{\sqrt{x+4}};\ D:\ \left[2,\infty\right)$  

•  $\frac{\sqrt{x-2}}{\sqrt{x+4}};\ D:\ \left(-4,\infty\right)$  

•  $\frac{\sqrt{x-2}}{\sqrt{x+4}};\ D:\ \left(-\infty,-4\right)U\left(-4,2\right)U\left(2,\infty\right)$