Question

49 POINTS!!!!!!!! PLZ HELP!

Answer 1

Answer:

(a) f⁻¹(x) = 2x - 8

(b) f⁻¹(4) = 0

Step-by-step explanation:

This is usually not too difficult if you write the equation as y = f(x), then swap x and y and solve for y.

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

... x = (1/2)y + 4 . . . . variables swapped

... x - 4 = (1/2)y . . . . . subtract 4

... 2(x -4) = y . . . . . . multiply by 2

... y = 2x - 8 . . . . . . simplify

... f⁻¹(x) = 2x -8

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Evaluating this for x=4, we get

... f⁻¹(4) = 2·4 - 8 = 0