Plz

match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.

1.k(x)=40-3^x+1-15x
2.k(x)=3^x-3x k(x)
3.k(x)=10+3^x+1-15x k(x)
4.k(x)=10-3^x-3x k(x)
5.k(x)=40-5(3^x)-9x k(x)
6.k(x)=5(3^x)-9x-10 k(x)
1. k(x) = (5g + 3h)(x)
2. k(x) = (3h - 5g)(x)
3. k(x) = (3g + 5h)(x)
4. k(x) = (5h - 3g)(x)
5. k(x) = (h - g)(x)
6. k(x) = (g + h)(x)

1 - 3, 2 - 5, 3 - 4, 4 - 6, 5 - 1, 6 - 2.

Step-by-step explanation:

We have,

h(x) = 5-3x and

So, according to the options, we have,

1. k(x) = (5g + 3h)(x)

Now,

i.e.

i.e.

i.e.

2. k(x) = (3h - 5g)(x)

Now,

i.e.

i.e.

i.e.

3. k(x) = (3g + 5h)(x)

Now,

i.e.

i.e.

i.e.

4. k(x) = (5h - 3g)(x)

Now,

i.e.

i.e.

i.e.

5. k(x) = (h - g)(x)

Now,

i.e.

i.e.

i.e.

6. k(x) = (g + h)(x)

Now,

i.e.

i.e.

Thus, we have the matches as,

1. k(x) = (5g + 3h)(x)  ----------------  5. k(x)=40-5(3^x)-9x

2. k(x) = (3h - 5g)(x)  ----------------  6. k(x)=5(3^x)-9x-10

3. k(x) = (3g + 5h)(x) ----------------   1. k(x)=40-3^x+1-15x

4. k(x) = (5h - 3g)(x)  -----------------  3. k(x)=10+3^x+1-15x

5. k(x) = (h - g)(x)   -----------------  2. k(x)=3^x-3x

6. k(x) = (g + h)(x)   ----------------- 4. k(x)=10-3^x-3x

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: