How do I find all values of "x" for which f (x) = g (x) for f (x) = 4/3x-4 and g (x) = 1/6x + 3?

Question

Mathematics

Stephany Wells

9 March, 20:04

How do I find all values of "x" for which f (x) = g (x) for f (x) = 4/3x-4 and g (x) = 1/6x + 3?

+4

Answers (2)

Know the Answer?

Lilyana Andersen · Answer 1

Set the functions equal and solve for x.

... f (x) = g (x)

... (4/3) x - 4 = (1/6) x + 3

... x (4/3 - 1/6) = 7

... (7/6) x = 7

... x = 6

The only x-value for which f (x) = g (x) is x=6.

Lennon Zamora · Answer 2

F (x) = g (x)

4/3x - 4 = 1/6x + 3

4/3x - 1/6x = 3 + 4

8/6x - 1/6x = 7

7/6 x = 7

7x = 42

x = 6