Question

Evaluate the questions given the following function:

g(x)=7x+11

If g(x)= -17, then x =

If g(x)= 25, then x=

Answer 1

1. x = -4
2. x = 2

Explanation:

Substitute -17 for x in the function:

`g(x)=7x+11`

`-17=7x+11`

Then, solve for x.

`7x+11=-17`

`7x=-17-11`

`7x=-28`

`x=-4`

So, in the first case, x = -4.

Let's look at the following question.

Here, g(x) = 25. Once again, we put it in:

`25=7x+11`

`25-11=7x`

`14=7x`

`2=x`

Therefore, x = 2.

Answer 2

If g(x) = -17, then to find the value of x, we substitute g(x) by -17 in the given function g(x) = 7x + 11. So we have:

-17 = 7x + 11

Subtracting 11 from both sides, we get:

-28 = 7x

Dividing both sides by 7, we get:

x = -4

Therefore, if g(x) = -17, then x = -4.

Similarly, if g(x) = 25, then to find the value of x, we substitute g(x) by 25 in the given function g(x) = 7x + 11. So we have:

25 = 7x + 11

Subtracting 11 from both sides, we get:

14 = 7x

Dividing both sides by 7, we get:

x = 2

Therefore, if g(x) = 25, then x = 2.