Write the inverse function for the function, ƒ (x) = 1/2 x + 4. Then, find the value of ƒ - 1 (4). Type your answers in the box

Question

Frida Lam

Mathematics

14 January, 09:22

Write the inverse function for the function, ƒ (x) = 1/2 x + 4. Then, find the value of ƒ - 1 (4). Type your answers in the box

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Azaria Ritter · Answer 1

First find x in terms of f (x)

1/2 x = f (x) + 4

x = 2 (f (x) + 4)

x = 2f (x) + 8

Now replace x by the inverse function f-1 (x) and the f (x) by x

f-1 (x) = 2x + 8

f-1 (4) = 2 (4) + 8 = 16