Show algebraically that f and g are inverse functions.

1.

2. , ≥ 0

Step-by-step explanation:

1)

f(x) = -6x + 3

To get the inverse of this, make x be the subject of the formula.

let f(x) = y

6x = 3 - y

x = (3 - y)/6

∴ f(x) = (3 - x)/6

Truly f and g are inverse functions.

2)

f(x) = -3x²+ 5

let f(x) = y

y = -3x² + 5

3x² = 5 - y

x² = (5 - y)/3

x = √[(5 - y)/3]

f(x) = √[(5 - x)/3]

Truly f and g are inverse function.

p> q if you calculate p is100 q is 79