Suppose fx 3x and gx 9 x 2 Find all x for which fx gxSol

Suppose f(x) = 3x and g(x) = 9 x 2 . Find all x for which f(x) = g(x).

Solution

f(x) = 3x   and    g(x) = 9 x ²

we need to find dthe values for \"x\" for whuch f(x) =g(x)

f(x) = g(x)

3x = 9x²

adding -9x² on both sides

3x -9x² = 9x² -9x²

3x - 9x² = 0

now we pull out thr GCF \"3x\" since it is common in both terms    // 9x^2 = 3x * 3x

3x (1 - 3x) = 0

on solving we get

3x = 0 or (1-3x) = 0

x = 0 or x = 1/3