Question

Select the equation that can be used to find the input value at which f (x ) = g (x ), and then use that equation to find the input, or x -value.

1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.
1.8x = –4; x = 1.8 x equals negative 4; x equals negative StartFraction 20 over 9 EndFraction.
1.8x – 10 = –4; x = A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
–4 = x

Answer 1

The equation that can be used to find the input value at which f(x) = g(x) is:

1.8x - 10 = -4

To solve for x, we can start by adding 10 to both sides of the equation:

1.8x - 10 + 10 = -4 + 10
1.8x = 6

Next, divide both sides of the equation by 1.8 to isolate x:

(1.8x)/1.8 = 6/1.8
x = 3.33...

Therefore, the input value at which f(x) = g(x) is approximately x = 3.33.