Functions: Composite, Inverse, Exponential, and Logarithms

• 6x² - 1
• 6x - 3
• 5x - 1
• 6x² - 3x

Tags

CCSS.HSF-BF.A.1C

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.1C

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x²+31
• g(f(x))= -6x²+24
• g(f(x))=18x²-84x+90
• g(f(x))=9x²-42x-41

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

Determine the inverse for the function:

P (x) = 2x² + 1

Tags

CCSS.HSF-BF.B.4A

Determine the inverse for the function:

R (x) = 2x + 1

Tags

CCSS.HSF-BF.B.4A

Tags

CCSS.HSF-BF.B.4A

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

Solve 8 = 2^5x+7

• x = ⅘
• x = ¼
• x = -⅘
• x = -¼