Question

If f(x) = -3x +4 and g(x) = 2, solve for the value of x forwhich (fx) = g(x) is true.​

Answer 1

Answer:

$x=-\frac{2}{3}$

Explanation:

Let:

$f(x)=-3x+4\\\\And\\\\g(x)=2$

We need to know for which value of $x$ the function $f(x)$ is equal to $g(x)$:

$f(x)=g(x)$

Therefore, we need to solve for the previous equation for $x$:

Replacing the values of $f(x)$ and $g(x)$:

$-3x+4=2$

Subtract 4 from both sides:

$-3x+4-4=2-4\\\\-3x=-2$

Multiply both sides by -1

$-3x(-1)=-2(-1)\\\\3x=2$

Divide both sides by 3:

$\frac{3x}{3} =\frac{2}{3} \\\\x=\frac{2}{3}$

Therefore the value of $x$ for which $f(x)=g(x)$ is $x=\frac{2}{3}$.

Verify the result:

$-3(\frac{2}{3} )+4=2\\\\-2+4=2\\\\2=2$