Math 4 Final Review 3

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given the function $g\left(x\right)=\log_3x$  what is the inverse?

•  $g^{-1}\left(x\right)=x^3$  

•  $g^{-1}\left(x\right)=3^x$  

•  $g^{-1}\left(x\right)=3x$  

•  $g^{-1}\left(x\right)=\frac{3}{x}$  

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

What is the inverse of the function $f\left(x\right)=\ 3\left(2\right)^x-5$ .

•  $f^{-1}\left(x\right)=\log_2\left(\frac{x+5}{3}\right)$  

•  $f^{-1}\left(x\right)=\log_2\left(\frac{x-5}{3}\right)$  

•  $f^{-1}\left(x\right)=\log_2\left(\frac{x+3}{5}\right)$  

•  $f^{-1}\left(x\right)=\log_2\left(\frac{3x}{5}\right)$  

How much money will in an account that has an initial principal of $5,000, and annual interest rate of 4.5% compounded monthly, and the account matures after 4 years?

• $5,936

• $5,983

• $5,984

• $5,985

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

How much money will in an account that has an initial principal of $5,000, and annual interest rate of 4.5% compounded monthly, and the account matures after 4 years?

• $5,936

• $5,983

• $5,984

• $5,985

An account has a balance of $3,000. The rate in which interest accrues in 4.1% compounded monthly. How much time in years will the money need to be invested in order to have an account balance of $3,500? Choose all that apply

•  $\frac{\log_{\left(1+\frac{0.041}{12}\right)}1.167}{12}years$  

•  $\frac{\log_{1.0034}1.167}{12}\ years$  

•  $\frac{\log_{1.167}1.0034}{12}years$  

•  $\frac{1}{12}\log_{\left(1+\frac{0.041}{12}\right)}\left(\frac{3.5}{3}\right)\ years$  

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

When a logarithm has division inside of it, it expands using ________________.

• Addition
• Subtraction
• Multiplication
• Division

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Tags

CCSS.HSF.BF.B.5