contestada





The one-to-one functions g and h are defined as follows.
=g, , −7 1, , −4− 8, , 6 7 , 7− 3

=hx−2x3
Find the following

The onetoone functions g and h are defined as follows g 7 1 4 8 6 7 7 3 hx2x3 Find the following class=

Respuesta :

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

Otras preguntas