Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given two functions, $f(x) = 2x^2 - 5x$ and $g(x) = 5x + 4$. We need to find the following co...
FunctionsComposition of FunctionsPolynomials
2025/7/3
We are given three functions: $f(x) = -9x$, $g(x) = 7x + 3$, and $h(x) = 6x^2 + 7x$. We need to eval...
Function CompositionPolynomial Functions
2025/7/3
We are given three functions: $f(x) = x^4 + 3$, $g(x) = x - 6$, and $h(x) = \sqrt{x}$. We need to fi...
FunctionsComposite FunctionsFunction CompositionAlgebraic ManipulationExponents
2025/7/3
The problem asks us to find the compositions $f(g(x))$ and $g(f(x))$ given $f(x) = \sqrt{-15-x}$ and...
Function CompositionFunctionsSquare Roots
2025/7/3
We need to multiply and simplify the expression $(\frac{3x^6}{2y^4})^5 \cdot (\frac{2^3y^3}{3^4x^6})...
ExponentsSimplificationAlgebraic Expressions
2025/7/3
The problem asks to simplify the expression $\frac{z^8}{z^2}$ and write the answer in exponential fo...
ExponentsSimplificationAlgebraic Expressions
2025/7/3
The problem asks to simplify the expression $\frac{b^8}{b^4}$ and write the final answer without usi...
ExponentsSimplificationQuotient Rule
2025/7/3
The problem asks to simplify the expression $\frac{x^8y^9}{x^6y^6}$ and write the final answer witho...
ExponentsSimplificationAlgebraic Expressions
2025/7/3
The problem asks to simplify the expression $m^5(m^7)^6$.
ExponentsAlgebraic simplificationPower of a power ruleProduct of powers rule
2025/7/3
We are given four functions: $f(x)$ is represented graphically, $g(x)$ is given as a set of ordered ...
Function CompositionFunction EvaluationGraphical AnalysisTabular Data
2025/7/3