if f(x)=6^2-5x and g(x)=2x+3
solve for f(x)=g(x)
If this is algebra then
f(x) <= g(x)
6x^2 -5x <= 2x+3
6x^2 - 7x <= 3
6x^2 -7x -3 <= 0
(3x+1)(2x-3)<=0
3x+1<=0 or 2x-3<=0
x<= -1/3 or x<= 1 1/2
To solve for f(x) = g(x), we need to set the two equations equal to each other and solve for x.
f(x) = g(x)
6^2 - 5x = 2x + 3
Let's simplify the equation step by step:
First, evaluate 6^2 = 36:
36 - 5x = 2x + 3
Next, rearrange the equation by moving all terms containing x to one side:
36 - 3 = 2x + 5x
33 = 7x
Now, divide both sides by 7 to isolate x:
33/7 = x
Finally, simplify the fraction:
x ≈ 4.714
Therefore, the solution to f(x) = g(x) is x ≈ 4.714.