Question

Help quick enough points

Answer 1

Step-by-step explanation:

F-¹ (x)

f-¹=x-7

fx=7+1

Fx = 8 is the answer

Answer 2

Part A

Given: f(x) = x - 7

(a)

y = x - 7                    [make x the subject]

x = y + 7                   [this is the inverse]

f⁻¹(x) = x + 7

(b)

(f × f⁻¹)(x) = x              [go right to left in such function]

f(x + 7) = x

(x - 7) + 7 = x

x = x

Part B

Given: g(x) = 12x

(a)

y = 12x                    [make x the subject]

x = y/12                   [this is the inverse]

g⁻¹(x) = x/12

(b)

(g × g⁻¹)(x) = x              [go right to left in such function]

g(x/12) = x

12x/12 = x                    [simplify]

x = x