Sketch the grTaph of a function f that satisfies all of the given conditions (@) /(-1) = 4, f(1) = -2, and f(3) = 1, (b) S(-1) – f(1) = /(3) = 0, (c) f'(r) > 0 ife< -1 or 1 < r<3, (d) S(r) < 0 if -1 < r , , 1 or (e) /"(r) > 0 if 0 2

Q: For each of the above functions, prove that f(f-1(x)) = f-1(f(x)) = f(x) = +6 f(x) = x3 + 2 f(x)…

A:

Q: Let x + 2 f(x) x + 9 f-(- 9) =

A:

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

A:

Q: Let x + 1 f(x) x + 9 f-'(- 4) =

A: To find the solution first we have to find the inverse of the given function and then evaluate it at…

Q: Determine the domain and range of 1.) f-¹(x) = x-1/2 2.) f-¹(x) = x-4

A:

Q: f(x) = 2 sec (-) + 1 2

A:

Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: Let f(x) f-1( – 8) = Preview

A:

Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Suppose f and g are one-to-one functions such that f(2) = 7, f(4) = 2, and g(2) = 5. Find the value,…

A: We have given functions f and g are one-to-one. Then, a. gof-17=gf-17=g2=5 b. fog-15=fg-15=f2=7

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) &gt; 0

Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

A:

Q: Let f(x) be the function x + 5 for x 2.

A: Let f(x)=x+5 for x&lt;-1               =cx for -1≤x≤2                =x+6 for x&gt;2 To find the…

Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

A: