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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

In Exercises 90-98, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

95. If f is a function defined on (−∞, ∞) and k is a real number, then f(kx) = k(fx).

To determine

If f is a function defined on (,) and k is a real number, then f(kx)=kf(x) .

Explanation

Let, the function f ,

f(x)=x2+1 (1)

Substitute kx for x in the equation (1),

f(kx)=(kx)2+1 (2)

Multiply both side k in the equation (1),

kf(x)=kx2+k (3)

From the equation (2) and (3),

The function <

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