Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given two functions, $f(x) = 5x - 9$ and $g(x) = 6 - x^2$. We need to calculate the following...
FunctionsFunction CompositionEvaluation
2025/7/3
The problem asks us to calculate two composite functions: $f(g(0))$ and $g(f(0))$, given $f(x) = 2x ...
FunctionsComposite FunctionsFunction Evaluation
2025/7/3
The problem asks us to evaluate four composite functions, $f(g(-7))$, $g(f(-5))$, $f(f(14))$, and $g...
Function CompositionFunction Evaluation
2025/7/3
We are given a table of x and y values that represent a linear function. We need to determine the eq...
Linear EquationsSlope-Intercept FormSlopeY-intercept
2025/7/3
The problem is to complete a table that contains expressions written in radical notation, rational e...
ExponentsRadicalsSimplificationRational Exponents
2025/7/3
The problem asks to find the composite function $g(f(x))$, given $f(x) = -5x$ and $g(x) = x^2 + x - ...
Function CompositionAlgebraic ManipulationPolynomials
2025/7/3
The problem asks us to evaluate composite functions using a table of values for functions $f(x)$ and...
FunctionsComposite FunctionsFunction Evaluation
2025/7/3
We are asked to find the equation of the line shown in the graph.
Linear EquationsSlopePoint-Slope FormCoordinate Geometry
2025/7/3
The problem asks us to rewrite the expression $18m^{-4}x^2$ such that all exponents are positive. Th...
ExponentsAlgebraic ManipulationSimplification
2025/7/3
We are given two functions $g(x) = -6x + 1$ and $h(x) = -5x + 6$. We need to evaluate $g(-3)$, $h(-3...
FunctionsFunction CompositionEvaluation
2025/7/3