find an equation of the line tangent to f-1at a=0 2. let f(x)=x3+3sinx+2cosx a) determine if f-1 is increasing or decreasing at a=2 b) determine if f-1 has a positive or negative concavity at a=2
Use the Wronskian to show that f(x)-2cosx +3sinx and g(x)-3cosx-2sinx are linearly independent
Find the requested composition of functions. Given f(x) = 7x + 11 and g(x) = 5x - 1, find (f ∘ g)(x).
Find instantaneous rate of change for t(x)=3sinx +3, x=a Find Average rate of change for t(x)=3sinx +3, [a,b] for any value of a and b
f(3) = 7x + 11 is given. a) Prove that f is one-to-one using the definition of a one-to-one function. b) Find the inverse function f-'(x).
1 = 2 = 3 = 4 = 5 Given f (x) = x² +7x, (a) Find f(x+h) and simplify. f(x+h)-f(x) (b) Find and simplify. h Part: 0/2 Part 1 of 2 (a) f(x+h) = +O D-O X 5 Next Part Search here
Question 7 7x - 21 Given f(x) = - x2- 7x + 12 a. Determine the domains of f(x) and g(x). b. Simplify f(x) and find any vertical asymptotes. c. Complete the table. ix) g(x)
Find the difference quotient of the given function. f(x) = 5x2 + 7x - 7
Find the inverse function of f informally. f(x) = 7x f-1(x) = Verify that f(F-1(x)) = x and f-1(f(x)) = x. AF-1(x)) = f( = X f-1(f(x)) = f-1 7x = X Use the table of values for y = (x) to complete a table for y = f'(x). (Order your answers from smallest to largest x-value.) х -1 0 1 2 3 4 13 f(x) الميا 5 7 9 11 (x)
Find the domain and the range of the function. 4 f(x)=1-7x+ 5, for x < 7. for x 27 What is the domain of the given function? (Type your answer in interval notation.) What is the range of the graph of a function? (Type your answer in interval notation.) Enter your answer in each of the answer boxes