The function f (x) = x^3 + x is invertible. Give the slope of the tangent line t

ID: 2844192 • Letter: T

Question

The function f (x) = x^3 + x is invertible. Give the slope of the tangent line to the graph of f ^?1(x) at x = 2.

a. -1/2 b. 4 c. 1/4 d. 2 e. None of these.

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The function f (x) = x^5 +3x^3 + x +1 is invertible. Give ( f ^?1 )'(1)

a. -1 b. -2 c. 1/2 d. 2 e. 1 f. None

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Suppose ( f ^?1) '(1) =1/3 and f (3) =1. Give the slope of the tangent line to the graph of f (x) at x = 3.

a. -3 b. -2 c. 1 d. 2 e. 3 f. None of these.

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Find the inverse of each relation and determine whether the inverse is a function. Answer (A) if the inverse IS a

function or answer (B) if the inverse is NOT a function.

1. {(

1) c.1/4

2)e. 1

3)e. 3

4) 1) B

2)A.ans: {( 4,2), (1,-3), (8,2)}

3)A.ans: {(3,1), (-1, 1), (-3,1), (1, 1)}

4) B

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