College Algebra

If
g(x) = x2 + 6x
with
x ≥ −3,
find
g−1(55)

I need help solving this problem this is an example but it does not thoroughly is explained. :/

1. 👍 0
2. 👎 0
3. 👁 1,190
1. you need x when g(x) = 55
x^2+6x=55
x^2+6x-55 = 0
(x+11)(x-5) = 0

Since the domain is x >= -3, that means that
g^-1(55) = 5

Note that specifying that x >= -3 means we have chosen only one branch of the parabola, whose vertex is at (-3,-9).

Since g(x) = x^2+6x,
x = -3 ±√(g+9)
we choose to use only the
x = -3+√(g+9)
Thus, when g=55, x=-3+√64 = -3+8 = 5

1. 👍 0
2. 👎 0

Similar Questions

1. Science

1. Which of the following best explains what an Engineer does? A- An engineer combines the knowledge with problem-solving skills to design better mathematical models. B-An engineer combines the knowledge with problem-solving

2. algebra

Explain the difference between solving a system of equations by the algebraic method and the graphical method. Someone also wants to know why there are different methods for solving the same problem-what would you tell him?

3. Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Here's

4. Math

Explain how solving a linear inequality is similar to solving a linear equation. Explain how solving a linear inequality is different from solving a linear equation.

1. Maths

1 Given that sin x=0.5,find the values of x between 90° and 360° with solving 2 solve (x-2)(x-3)=12

2. Algebra 1 A (2)

Can someone answer all of lesson 9:solving equations unit test (Unit 3:solving equations) all answers 8th grade

3. algebra

How is the process of solving literal equations different from solving equations with only one variable? I have looked over my notes, and me lessons, but I can not come up with a good answer, or explanation;( Please help, it would

4. Mathematics

How did u solve these,in triangle ABC A is 29,B is 36 then small letter b is 15.8cm then find a.please complete solving.

1. urgent urgent algebra

find the composite function fog f(X) = 1/X-5,g(x)-6/x question 2 find inverse, domain range and asymatotes of each function f(x)=3+e^4-x can some one help me please been stuck on these for 2 days need help solving thank you

2. calculus

find the limit. lim (5-e^x)/(5+3e^x) (x-> infinity) how would i go about solving this? thank you in advance to anyone who can help me.

3. physics

This problem explores the difference between solving a circuit using the KCL/KVL method and the node method. The circuit shown below has five elements: three resistors, a current source and a voltage source. The resistance of the

4. Math

Explain how solving a linear inequality is similar to solving a linear equation. Explain how solving a linear is different from solving a linear equation.