Question

Diket F(x) = 2x + 5

g (x) = x-2

Tentukan:
a.(Fog)
b. F^-1 (x)

Answer 1

komposisi fungsi

invers fungsi

f(x) = y → f⁻¹ (y) = x

a.

f(x) = 2x + 5

g(x) = x - 2

(fog)(x)

= f(g(x))

= f(x - 2)

= 2(x - 2) + 5

= 2x + 1

(fog)(x) = 2x + 1

b.

f(x) = y = 2x + 5

2x = y - 5

x = f⁻¹ (y) = (y - 5)/2

f⁻¹ (x) = (x - 5)/2

Answer 2

Penjelasan dengan langkah-langkah:

a.

(fog)(x)

f(g)(x))

F(x - 2)

2(x - 2) + 5

2x - 4 + 5

2x + 1

b. f-¹(x)

(x - 5)/2

semoga bermanfaat