Question

Given f(x)=4x-6 and g(x)=8x+4 findthe value of x for which f(x)=g(x)

Answer 1

The value of "x" is $\frac{-5}{2}$

Solution:

Given f(x) = 4x - 6

g(x) = 8x + 4

To find: value of x when f(x) = g(x)

We can equate f(x) and g(x) as per given statement and solve for x

f(x) = g(x)

Substituting the values of f(x) and g(x) in above expression,

4x - 6 = 8x + 4

4x - 8x = 4 + 6

-4x = 10

On solving,

$x = \frac{10}{-4}\\\\x = \frac{-5}{2}$

Thus value of "x" is $\frac{-5}{2}$