WebWe aren't told what f is, but we do know that. f ′ ( x) = 3 x + 4. Then. f ′ ( g ( x)) = f ′ ( x 2 − 1) = 3 ( x 2 − 1) + 4 = 3 x 2 + 1. Also g ′ ( x) = ( x 2 − 1) ′ = 2 x. So, using the chain rule: [ f ( g ( x))] ′ = f ′ ( g ( x)) ⋅ g ′ ( x) = 3 x 2 + 1 ⋅ 2 x = 2 x 3 x 2 + 1. Share. WebAnswer (1 of 3): From the given, we have h(x/2 + 1) = 2x + 1. Put u = x/2 + 1, so x = 2u - 2. So now h(u) = 2(2u - 2) + 1 = 4u - 3. That is, h(input) = 4*input - 3 ...
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WebMar 5, 2016 · g (h (x))=6x +1 and h (g (x)) = 6x+7 Explanation: Basically , this is a substitution exercise. g (h (x)) = g (2x-1) . Now substitute x = 2x-1 in for x in g (x) hence … WebApr 18, 2024 · If h(x) = f(x)/g(x), we obtain the derivative of h(x) at any value of x using the Quotient Rule: h'(x) =[f '(x)g(x) - f(x)g'(x)]/(g(x) 2) (Here it is assumed that f '(x) and g'(x) … sandton view coffee house and bar
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Webh (x)=f (g (x)) h (x)=f (g (x)) full pad » Examples Related Symbolab blog posts Practice, practice, practice Math can be an intimidating subject. Each new topic we learn has … WebSep 8, 2024 · Given the function g (x) = 5 − x^2. evaluate [g (x + h) − g (x)] / h , h ≠ 0. Same process as above. Use the given function definition for g (x) to determine the expression for g (x+h). Substitute this expression, and the expression for g (x), into the numerator. Simplify the resulting numerator, and then factor it. Web2 days ago · Porn star Julia Ann is taking the “men” out of menopause. After working for 30 years in the adult film industry, Ann is revealing why she refuses to work with men … sandton view high school fees 2022