Question

Given the graphs of f(x) = 2x + 1 and g(x) = 5x – 2, what is the solution to the equation f(x) = g(x)?A)0B)1C)3D)–2

Answer 1

x=1

Explanation:

f(x) = 2x + 1

g(x) = 5x – 2

f(x) = g(x)

2x+1 = 5x-2

Subtract 2x from each side

2x+1 = 5x-2-2x

1 = 3x-2

Add 2 to each side

1+2 =3x-2+2

3 = 3x

Divide by 3

3/3 =3x/3

1 =x