12 Questions
What is the inverse function of f(x) = 3log2(x) + 8?
$f^{-1}(x) = 2^{rac{x-8}{3}}$
Solve for x: $4 imes 2^{x+5} - 10 = 22$
$x = -9$
What is the logarithmic regression equation that models the situation of Johnny Manziel's rookie card value over games played?
a) $y = a + b imes ext{log}(x)$; b) 16 games
Explain the transformation from the function $f(x) = ext{log}_3(x)$ to $g(x) = ext{log}_3(81x)$.
The transformation involves compressing the graph horizontally by a factor of 1/81.
Solve for x: $ ext{log}(39) + ext{log}(4x^2) = 6$
$x = rac{3}{2}$
Find the inverse of $f(x) = ext{log}(3-x) + 2$. What is $f^{-1}(3)$?
$f^{-1}(x) = 3 - 10^x$; $f^{-1}(3) = -7$
What is the value of A+C in the equation log logb/=Alog5+Blogz+Clogy?
1
If f(x) = log4(æ-h) and x=4a, what is the value of f(x)?
log4(0)
Which of the following statements is FALSE regarding the graphs of f(x) = log3x, f(x) = log2(3x), and f(x)=log2(2/3)?
C) They all have the same domain.
What is a reasonable next step to solve the equation log6x=log6(5x-4)?
B) Set x2 = 5x-4 and solve
In the transformation of the parent function y=gз(x), what does it mean if the function was shifted right 2?
The parent function was shifted right 2.
What is the value of g(8) if h(x)=g(f(x)) and h(x) = 2-/65, 265, 25, 15 for selected values of x?
265
Test your math skills with questions on inverse functions, exponential equations, and logarithmic regression. Solve equations, find inverse functions, and analyze data using logarithmic regression.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
