If f(x) = 1/2x-14,then f^-1(x)=

Mathematics

2 answers:

Contact [7]2 years ago

5 0

The answer to your problem would be F ^-1 (x) = 2x + 28

Alik [6]2 years ago

4 0

Answer:

f ^-1 (x) = 2x+28

Step-by-step explanation:

f(x) = 1/2x-14

Replace f(x) with y

y = 1/2 x -14

Exchange x and y

x = 1/2 y -14

Solve for y

Add 14 to each side

x+14 = 1/2 y -14+14

x+14 = 1/2 y

Multiply each side by 2

2(x+14)= 1/2 y*2

2x+28 = y

The inverse function is

f ^-1 (x) = 2x+28

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