2. The values of g and g' are given in Table 6. -1 Complete the columns for g¹ and (g-¹). X 1 2 3 g(x) g'(x) g¯¹(x) (g¹¹)'(x) 2 -2 1 4 3 2

Q: G-Xモ-(X))

A: f(x)=2x-5   Replace x = x-5   f(x-5) = 2(x-5)-5 f(x-5) = 2x-10-5 f(x-5) = 2x-15

Q: A table of values for f, g, f, and g' is given. F(x) g(x) g(x) X -8 -7 -6 -8 -2 -7 -7 (a) If h(x) =…

A:

Q: g(x)= b) The graph of On the same grid, sketch the functions: f(x) f'(x) and g(x) f'(x) f(x) is…

A: The graph of g(x) is given, we have to sketch f(x) and f'(x).

Q: 2x – 3 - Find the inverse of f(x) - 4x + 5

A: As per guideline we have to solve one question

Q: 3. Find g'(x) = I 1 9x5 + 2 3x4 1 X

A:

Q: The function f is one-to-one. Find its inverse. 5-4x f(x) = 9x+S -9x + 4 O f'(x) = -8x+5 O f'(x) =…

A:

Q: Given the data in the table, find: (a) F(x) = f(g(x)) (b) G(x) = f(f(x))

A: Given:  A table of data is given. To Find:  a Fx=fgxb Gx=ffx

Q: Let g(s) = (282)7. Then g'(s) is g'(2) is g" (s) is and g' (2) is "

A: Solving the following problem

Q: nd and simplify 2² x² (f(x) g(x)). O d² O −(ƒ (x) g(x)) = ƒ” (x) g(x)+ f (x) g″ (x) Hint 2² -(f(x)…

A: Given query is to find the double derivative.

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: (b) g(x) = (x - 2)2 10 X 10 10 - 10 -5 - 10 -5 -5 -5 - 10 -10 y 10 - 10 -5 10 - 10 -5- -10 -10 (c)…

A:

Q: A graphing calculator or computer algebra system is recommended. f'(x) and its graph are given. Use…

A:

Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: Selected values of a strictly monotonic function g(x) and its derivative g'(x)are shown on the table…

A: We will use the relation between g and g-1. gg-1(x)=xWe differentiate it with respect to x.…

Q: A table of values for f, g, f', and g is given below. xf(x) g(x) f'(x) g(x) 1 2 3 2 3 1 3 1 3 3 1 3…

A: (A) The derivative h'x can be represented as follows: h'x=f'gx·g'x

Q: In (x2+1) f (x) x2+1

A:

Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -6 I -7 f(x) -9 f'(x) -1 g(x) 10 g'(x)…

A:

Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: which one is y=g(x), y =g'(x), y=g''(x), y=g'''(x)

A: We have to fund which graph corresponds to g(x),g'(x),g''(x),g'''(x)

Q: 2. Using the information in the table about f and g, find: (a) h(4) if h(x) = f(g(x)) (b) h '(4) if…

A: