Name: Calculus IB Homework If f(x)=√(x-4) ,g(x)=x^2, then find the compositions fog,gof,fof and gog. Also, state the domain of the resulting composite function. fog(x)= gof(x)= fof(x)= gog(x)= Graph the following composite function. f(x)= {█(x+1 , x<0@2 , x=0@x^2 , x>0)┤ Find the inverse of the function and write it in the form y=f^(-1) (x). Verify the relationships f(f^(-1) (x))=x or f^(-1) (f(x))=x. f(x)=7x/(2x-3) Solve the following equations without using a calculator. Reduce expressions, if necessary, to natural logarithms. (x+3)^(4⁄3)=16 9^x+3^(x+1)-18=0 log_3(x-5) + log_3〖(x+3)=2〗 Solve the following trigonometric equations. 9〖 tan〗^2 x-3=0 〖sin〗^2 x-2 cosx-2=0 Type equation here. Evaluate the following limits. lim┬(x→-2)(x^2+5x+7) lim┬(x→3)〖(-5x)/√(4x-3)〗 Evaluate the following limits. lim┬(x→1)〖(x^2-7x+6)/(x-1)〗 lim┬(x→5)〖(√(x+4) -3)/(x-5)〗 Evaluate the following limits. lim┬(x→3^+ )〖5/(x-3)〗 lim┬(x→5^- )〖3/(x-5)^5 〗 Evaluate the following limits. lim┬(x→+∞)〖(4x^2-7)/(8x^2+5x+2)〗 lim┬(x→+∞)〖(2x+1)/(3x^4-2)〗 Prove algebraically that the following function is one-to-one. f(x)= √(x-3)
Name: Calculus IB Homework If , then find the compositions Also, state the domain of the resulting composite function. Graph the following composite function. […]
