Question

Let f(x) = 2x + 1 and g(x) = 3x - 3. Find the solution to the equation f(x) = g(x) by sketching the functions.​

Answer 1

(4, 9)

Explanation:

Given the functions

f(x) = 2x + 1 and g(x) = 3x - 3

Since the solution exists at when f(x) = g(x), then;

2x+1 = 3x -3

Collect like terms

2x - 3x = -3 -1

-x = -4

x = 4

Substitute x = 4 into f(x) = 2x + 1

f(4) = 2(4) + 1

f(4) = 8+1

f(4) =9

Hence the required solution from the graph will be (4, 9)