Question

Given h, left bracket, x, right bracket, equals, minus, 2, x, plus, 5h(x)=−2x 5, solve for xx when h, left bracket, x, right bracket, equals, 3h(x)=3.

Answer 1

To solve for x with the given function h(x) = -2x + 5 set to 3, subtract 5 from both sides, then divide by -2 to find that x equals 1.

Explanation:

The student is asked a mathematics problem: solve for x when the function h(x) is equal to 3, given that h(x) = -2x + 5. To find the value of x, we set the function equal to 3 and solve the equation.

Starting with the equation h(x) = -2x + 5, we substitute 3 for h(x):

3 = -2x + 5

Next, we subtract 5 from both sides:

-2 = -2x

Divide both sides by -2 to solve for x:

x = 1

Therefore, x equals 1 when h(x) is 3.