Question

Given that f(x)= (x+3)/2
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(12)

Answer 1

F(2) = (2+3)/2 = 1/4F^-1(x) = (-x)/(-x)= -1/4 F^-1(12) -> F^-1(12)= (-12)/(-12)= 12/24

F^-I(-5.25)+3.75 D) Find F^-I(-5.25)-3.75 E) F^-I(-5.25)+3.75

Explanation:

Answer 2

a) To find f(2), we substitute 2 in place of x: f(2) = (2+3)/2 = 5/2 = 2.5.

b) To find f^-1(x), we have to find the inverse function of f(x). To do this, we need to switch the x and y values and then solve for x. So, we have:

y = (x+3)/2

x = 2y - 3

Thus, f^-1(x) = 2x - 3.

c) To find f^-1(12), we substitute 12 in place of x in the inverse function: f^-1(12) = 2 * 12 - 3 = 21.

Hope it helps!