The function h(x)=4/3x-1 represents the composite h(x)=f(g(x)).if f(x)=2x-1,what is g(x)

Step-by-step explanation:

Given:

Composite Function:

Also,

To find:

Solution:

First of all, let us learn about a composite function.

Composite function means to write in place of in the function .

Let

So, =  .

Therefore,

So,

We have to solve for in terms of to find the value of :

Hence, the answer is .

Checking whether the answer is correct or not:

which is .

Hence, our answer is correct.

here

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18