WebOct 11, 2024 · (f ⋅ g)(x) = 2x3 −3x2 − 2x Explanation: f (x) = 2x2 + x g(x) = x −2 We know (f ⋅ g)(x) = f (x) ⋅ g(x) So, (f ⋅ g)(x) = (2x2 + x)(x − 2) (f ⋅ g)(x) = 2x3 −3x2 − 2x Answer link Jim G. Oct 11, 2024 2x3 − 3x2 − 2x Explanation: (f ⋅ g)(x) = f (x) × g(x) = x(2x + 1)(x − 2) ← expand factors using FOIL = x(2x2 −3x − 2) = 2x3 − 3x2 − 2x Answer link WebClick here👆to get an answer to your question ️ If f(x) = x^2 and g(x) = 2x + 1 be two real valued function. Find f (g (x) ) and f (x)g (x) Solve Study Textbooks Guides

f(g(2)), g(x)=2x+1, f(x)=x^2 - Symbolab

WebFinal answer. Transcribed image text: 2. Find the equation of the line tangent to the graph of f at the indicated value of x. a) f (x) = 3+ lnx;x = 1 b) f (x) = 2+ ex;x = 1 3. Let f (x) = … Webf (x) = 2x f ( x) = 2 x , g(x) = x 2 g ( x) = x 2. Set up the composite result function. f (g(x)) f ( g ( x)) Evaluate f ( x 2) f ( x 2) by substituting in the value of g g into f f. f ( x 2) = 2(x 2) f ( x … mario mercier chanteur country

f(x)=3x-1; g(x)=x^2-x; Find (f/g)(x) - YouTube

WebMay 13, 2024 · To find g'(1), we will use the Inverse Function Theorem. Inverse Function Theorem If y = g(x) is the inverse of f(x), then g' (x) = 1 / f ' (g(x)).. Since, f(x) = 3x 3 + 2x + 1, it follows that f ' (x) = 9x 2 + 2. So by the above theorem, g' (1) = 1 / f ' (g(1)) where f ' (g(1)) = 9 · g(1) 2 + 2. It remains to figure out what g(1) equals. WebThe equation sin(cos(x)) = cos(sin(x)) does have roots, just not real roots. For example, ±0.7853981634±0.4663385348i (approximately) are roots. In some cases when f and g … WebOnce a value of y is chosen, say a, then f(x,y) determines a function f a which traces a curve x 2 + ax + a 2 on the -plane: = + +. In this expression, a is a constant, not a variable, so f a is a function of only one real variable, that being x. Consequently, the definition of the derivative for a function of one variable applies: mario michling cottbus