Algebra 2 WorksheetsGrades 10–11–12

Function Composition & Inverse Functions Worksheets

Find composite functions f(g(x)) and algebraic inverse functions f⁻¹(x).

Function Composition & Inverse Functions

Seed #104729

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Find the composite function or inverse function as requested.

Find the composition f(g(x)) given f(x) = 3x − 2 and g(x) = x − 4: ______

Find the composition f(g(x)) given f(x) = 4x + 7 and g(x) = 2x − 5: ______

Find the inverse function f⁻¹(x) for f(x) = 3x + 7: ______

Find the inverse function f⁻¹(x) for f(x) = 3x + 2: ______

Find the inverse function f⁻¹(x) for f(x) = 4x + 3: ______

Find the inverse function f⁻¹(x) for f(x) = 2x + 2: ______

Find the inverse function f⁻¹(x) for f(x) = 2x − 4: ______

Find the inverse function f⁻¹(x) for f(x) = 3x − 3: ______

Find the inverse function f⁻¹(x) for f(x) = 4x − 2: ______

10)

Find the composition f(g(x)) given f(x) = 3x − 2 and g(x) = x − 7: ______

11)

Find the composition f(g(x)) given f(x) = 4x + 6 and g(x) = 3x − 1: ______

12)

Find the composition f(g(x)) given f(x) = 3x + 4 and g(x) = x − 3: ______

Solve quadratic equations using the quadratic formula or completing the square for exact rational and simplified radical roots.

Grades 9–10–11

Add, subtract, and multiply complex numbers in a + bi form and simplify powers of the imaginary unit i.

Grades 9–10–11–12

Solve logarithmic and exponential equations for exact rational and integer solutions.

Grades 10–11–12

Factor polynomials to simplify rational expressions and add rational expressions with linear denominators.

Grades 10–11–12

Divide quadratic and cubic polynomials by linear binomials (x − r) with exact quotients and remainders.

Grades 9–10–11–12

Find the nth term and partial sums of finite arithmetic and geometric sequences and series.

Grades 9–10–11–12

Add, multiply, find determinants, and compute inverses of 2×2 SVG matrices.

Grades 10–11–12