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Hace 19 horas · Step 1/4 1. (f ∘ g)(x) = f(g(x)) = f(3x + 12) = 2/(3x + 12). The domain of (f ∘ g)(x) is all real numbers except x = -4, so the domain is (-∞, -4) U (-4, ∞).
Hace 19 horas · Study with Quizlet and memorize flashcards containing terms like If f(x) = 3x + 2 and g(x) = x^2 + 1, which expression is equivalent to (f*g)(x)?, If u(x)= -2x^2 + 3 and v(x)= 1/x, what is the range of (u*v)(x)?, If h(x) = 6 - x, what is the value of (h*h)(10)? and more.
Hace 1 día · Cubic equation. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis at y = 0 ). The case shown has two critical points. Here the function is and therefore the three real roots are 2, -1 and -4. In algebra, a cubic equation in one variable is an equation of the form in which a is not zero.
Hace 1 día · A force F = (x^2 + 3x - 5) N acts on a 5 kg body along the x-axis, as a result of which the body gets displaced from x = 0 to x = 3 m. The work done by the f...
Hace 5 días · In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real -valued function.
Hace 2 días · 9. Cálculo - Derivadas Problema: Encontre a derivada de f(x) = 3x^2 - 4x + 1. f'(x) = 6x - 4. Explicação: Aplicamos as regras de derivação para encontrar a derivada desta função polinomial.
Hace 5 días · The derivative of \( f(x) = 2 + x + x^{2} - x^{3} \) is \( f'(x) = 1 + 2x - 3x^{2} \). Setting \( f'(x) = 0 \) gives the critical points of the function. Solving the equation \( 1 + 2x - 3x^{2} = 0 \) gives \( x = 1 \) and \( x = -1/3 \).
