Algebra 2 Chapter 5 Review

 $f\left(x\right)=3x^2-4\ and\ g\left(x\right)=x^2-9$   $Find\ f\left(x\right)+g\left(x\right)$  

•  $3x^2-13$  

•  $4x^2-13$  

•  $4x^2+13$  

•  $3x^2+13$  

Tags

CCSS.HSA.APR.A.1

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

 $f\left(x\right)=6x-11\ and\ g\left(x\right)=2x-19$   $Find\ f\left(x\right)-g\left(x\right)$  

•  $8x-30$  

•  $8x+8$  

•  $4x-30$  

•  $4x+8$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39
• -27
• -23
• -19

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify and find the domain restrictions.

• x + 9/6x + 8

  x ≠ 8/6

• 6x + 8/x + 9

  x ≠ 9

• 6x + 8/x + 9

  x ≠ - 9

• x + 9/6x + 8

  x ≠ - 8/6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

 $f\left(x\right)=3x-4\ and\ g\left(x\right)=4x-10$   $Find\ f\left(x\right)\times g\left(x\right)$  

•  $12x^2-46x-40$  

•  $12x^2-16x^{ }+10$  

•  $12x^2-30x+24$  

•  $12x^2-46x+40$  

Tags

CCSS.HSA.APR.A.1

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Simplify.

• $\frac{a-4}{a-4}$

• $\frac{2\left(a-4\right)}{\left(a+4\right)\left(a-4\right)}$

• $\frac{a-4}{a+4}$

• 1

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14
• 20
• 6
• 7

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2