Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are asked to factor the expression $x^2 - 49$ using the difference of two squares formula.
FactorizationDifference of SquaresAlgebraic Expressions
2025/3/26
We are asked to simplify the expression $\frac{(2m^2n)^3}{(mn^3)^2 \times (4m)^2}$.
ExponentsSimplificationAlgebraic Expressions
2025/3/26
The problem states that the function $f$ is a one-to-one function. (a) Given $f(4) = 3$, we need to ...
FunctionsInverse Functions
2025/3/26
We are given the function $g(x) = \frac{3x-4}{11x}$ and we need to find its inverse function $g^{-1}...
Inverse FunctionsFunction ManipulationAlgebraic Equations
2025/3/26
We are asked to find the inverse function $f^{-1}(y)$ of the function $f(x) = \frac{1}{4}x - 11$.
Inverse FunctionsLinear Functions
2025/3/26
Given the function $f(x) = \frac{4}{-7x-8}$, we need to find its inverse function $f^{-1}(y)$.
Inverse FunctionsFunctionsAlgebraic Manipulation
2025/3/26
The problem provides a table of values for a function $f(x)$ and asks us to identify the table of va...
FunctionsInverse FunctionsTables of Values
2025/3/26
The problem asks to find the inverse function $f^{-1}(y)$ of the given function $f(x) = 2(x+2) + 5$.
Inverse FunctionsLinear Functions
2025/3/26
The problem asks us to find the inverse function $f^{-1}(y)$ given the function $f(x) = 2(x+2) + 5$.
Inverse FunctionsLinear Functions
2025/3/26
The problem asks to factor the quadratic polynomial $x^2 - 7x + 12$.
Quadratic EquationsFactorizationPolynomials
2025/3/25