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Let f(z Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) = an r-5 Preview...
Please answer 1&2! Given f(x)=V6_3a and g(z)= --, find the following: a. (f o g)(a)- Preview b. the domain of (f o g)(x) in interval notation Preview c. (go f)(x) Preview d. the domain of (g o f)(a) Preview Preview and m(x)25, state the domain of each of the following functions using interval Vr iven p(z) =- notation: p(z) m(x) Preview a. b. pm()) Preview Preview
Let f(z) z2 and g(z)-z-2, find: a. (fo g)(z) = [ Preview b, (go f)(x) c. (fo g)(-)-1 d' (g of)(-1) = Get Help: Preview Video eBook Points possible: 1 This is attempt 1 of 1. 閂亩□
Consider the following functions. f(x)=1/x and g(x)= x^3 Find the formula for (f∘g)(x) and simplify your answer. Then find the domain for (f∘g)(x) . Round your answer to two decimal places, if necessary. Also, Find the formula for (g∘f)(x) and simplify your answer. Then find the domain for (g∘f)(x) . Round your answer to two decimal places, if ny.
Let f(x) = 3x – 6 and g(x) = 6x + 5. Write a formula for each of the following functions and then simplify e. fg= Preview f. ff= Preview
Let f(z)-3- 1a + 14a. Calculate the following values: f(a) f(a + h) f(a + h) f(a) Preview Preview Preview for h 0 Find all real solutions of the equation 2(t +1) 10 14 Write out the exact answers (no decimal values), with answers separated by a comma. Preview Let f(z)-3- 1a + 14a. Calculate the following values: f(a) f(a + h) f(a + h) f(a) Preview Preview Preview for h 0 Find all real solutions of the equation 2(t...
12. Let g(x), h(y) and p(z) be functions and define f(x, y, z) = g(x)h(y)p(2). Let R= = {(x, y, z) E R3: a < x <b,c sy <d, eszsf} where a, b, c, d, e and f are constants. Prove the following result SS1, 5100,2)AV = L*()dx ["Mwdy ['Plzdz.
3. Let f, g : [a,b] → R be functions such that f is integrable, g is continuous, and g(x) >0 for all r E [a, b] Since both f,g are bounded, let K >0 be such that lf(z)| K and g(x) K for all x E [a3] (a) Let n > 0 be given. Prove that there is a partition P of [a, b such that U (P. f) _ L(P./) < η and Mi(P4)-mi(P4) < η for all...
For f(x) = Vx and g(x) = x + 7, find the following functions. a. (f o g)(x), b. (g o f)(x), c. (f o g)(2), d. (g o f(2) a. (fo g)(x) = L」 (Simplify your answer.) b. (gof)(x)=[-] (Simplify your answer) C. (fog)(2)-O (Simplify your answer) d. (g o f(2)- (Simplify your answer)
1.Find the derivative. You do not need to simplify your answers (a) f(r) = 2v#In(a) 5e 3r r2-4x+ 1 (b) g(x) 1.Find the derivative. You do not need to simplify your answers (a) f(r) = 2v#In(a) 5e 3r r2-4x+ 1 (b) g(x)
Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.) Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.)