2 years ago

What is the inverse of this function? f(x) = − ½√x + 3, x ≥ −3

Mathematics

1 answer:

kaheart [24]2 years ago

4 0

F(x)= -1/2 ( square root x+3 ) x2-3
-2f(x)= ( square root x+3)
4f^2(x)= x+3
f^-1(x)= 4x^2-3

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You guys are life savers but does anyone know the answers to these questions? I’m so confused rn

timofeeve [1]

Answer:

The third choice

Step-by-step explanation:

We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be $\frac{3}{-1}$ , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.