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Consider this function. f ⁡ ( x ) = 1 /2 ⁢ x + 1 /4 Which graph represents the inverse of function f? Which graph represents the inverse of function f?

Sagot :

MrRoyalidn

The inverse function of f(x) = 1/2x + 1/4 is f-1(x) = 2x - 1/2

How to determine the graph of the inverse function?

The function is given as:

f(x) = 1/2x + 1/4

Rewrite the function as

y = 1/2x + 1/4

Swap the positions of x and y

x = 1/2y + 1/4

Multiply through by 4

4x = 2y + 1

Subtract 1 from both sides

2y = 4x - 1

Divide by 2

y = 2x - 1/2

Rewrite as an inverse function

f-1(x) = 2x - 1/2

Hence, the inverse function of f(x) = 1/2x + 1/4 is f-1(x) = 2x - 1/2

See attachment for the graph of the inverse function

Read more about inverse function at

https://brainly.com/question/14391067

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View image MrRoyal
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