Question

Let h(x)=6-2/3x.
a. find h(-6).
b. Find the value of x so that h(x)=2

Answer 1

a. h(-6)=10

b. x=6

Explanation:

a.

To find h(-6), you want to plug in x=-6 into h(x).

`h(-6)=6-(2)/(3)(-6)` [multiply]

`h(-6)=6+4` [add]

`h(-6)=10`

Now, we know that h(-6)=10.

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b.

To find the value of x, we want to set h(x) equal to 2.

`2=6-(2)/(3) x` [subtract both sides by 6]

`-4=-(2)/(3)x` [multiply both sides by -3/2]

`x=6`

Now, we know that x=6.