The function f(x) = 16x-4 is one-to-one. (a) Find the inverse of f and check the

Question

The function f(x) = 16x-4 is one-to-one. (a) Find the inverse of f and check the answer. (b) Find the domain and the range of f andf (c) Graph f, f-, and y=x on the same coordinate axes. -1 (a) f(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.) (b) Find the domain of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 0 A. The domain is {xlx O B. The domain is {x|x* ° C. The domain is {x|x2 0 D. The domain is the set of all real numbers.

Explanation / Answer

f(x)=y=16x-4

a. To find the inverse we have to switch x and y

x=16y-4

x+4=16y

y=(1/16)(x+4)

f-1(x)=(1/16)(x+4)

Domain of f-1(x)

There is no restriction on x

Correct option is D
Range

There is no restriction on y

So correct option is D

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