for h(x)=5-4x, determine the input for x when the output of h(x) is -11
i have tried to answer this question so many times , but i cant figure it out
5 - 4 x = -11
- 4 x = -11 -5
- 4 x = -16 Divide both sides with - 4
- 4 x / - 4 x = - 16 / - 4
x = 4
Proof:
h ( x ) = 5 - 4 x = 5 - 4 * 4 = 5 - 16 = - 11
5 - 4 x = -11
- 4 x = -11 -5
- 4 x = -16 Divide both sides with - 4
- 4 x / - 4 = - 16 / - 4
x = 4
To determine the input for x when the output of h(x) is -11, we need to solve the equation h(x) = -11.
Given that the function h(x) = 5 - 4x, substitute -11 in place of h(x):
-11 = 5 - 4x
To isolate the term with x, we can start by subtracting 5 from both sides:
-11 - 5 = -4x
Simplifying further:
-16 = -4x
Next, divide both sides of the equation by -4 to solve for x:
-16 / -4 = x
This simplifies to:
4 = x
Therefore, the input for x when the output of h(x) is -11 is x = 4.