49 plz ! write the inverse function for the function, ƒ(x) = 1/2 x + 4. then, find the value of ƒ -1(4).

(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

Evaluating this for x=4, we get

... f⁻¹(4) = 2·4 - 8 = 0

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.