Purchase Solution

Function Inverse : If f(x) = 4x2 - 12x + 9 for x ≥ 0, what is f-1(9)?

Not what you're looking for?

Ask Custom Question

1. If f(x) = 4x2 - 12x + 9 for x ≥ 0, what is f-1(9)?

Please see the attached file for the fully formatted problems.

Attachments
Purchase this Solution
Solution Summary

The inverse of a function is investigated. The solution is detailed and well presented.

Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

View More Free Quizzes
Related BrainMass Solutions

  • Functions (30 Problems)

    f(x) = 3x + 9, g(x) = 4x - 1 (f g)(x) A) 12x + 35 B) 12x + 8 C) 12x + 12 D) 12x + 6 5. Write the standard form of the equation of the circle with the given center and radius.

  • Practice Problems - Polynomials and Rational Functions

    sign, x = -1 is a lower bound for the roots of f(x) -1/2 6 -7 7 9  -3 5 -6 6 -10 12 3 x = -1/2 is an upper bound ANSWERS: x = -1 is a lower bound and x = -1/2 is an upper bound.

  • Quadratic Equation Calculations

    Project # 1 (a) x2-2x-13=0 4x2-8x=52 4x2-8x+4=52+4 4x2-8x+4=56 (2x-2)2=56 2x-2= 2 2x-2=-2 2x= 2+2 2x =2-2 X= 1+ x= 1- (b) x2+12x-64=0 x2+12x=64 4x2+48x=256 4x2+48x+144=256+144 (2x+12)2=400 2x+12= 20

  • Solving Quadratic Equations and Substitutions

    right side of the equation and solve for x Example: Solve x2 + 3x - 10 = 0 x2 + 3x = 10 4x2 +12x = 40 4x2 + 12x + 9 = 40 + 9 4x2 + 12x + 9 = 49 2x + 3 = ±7 2x + 3 = 7 2x + 3 = 7 2x = 4 2x = -10 x = 2 x = -5 Try these: (a) x2 - 2x

  • Quadratic Factoring and Solving

    Hence x=5/2 or x=-5/2 2. x2 - 12x + 36 = 0 Ans: x2 - 12x + 36=(x-6)(x-6)=0. So x-6=0. Hence x=6 3. x2 + 14x + 45 = 0 Ans: x2 + 14x + 45=(x+5)(x+9)=0. So x+5=0 or x+9=0.

  • Inverse functions

    Second, we find the derivative of f(x). f(x)=x^3-6x^2+12x, then f'(x)=3x^2-12x+12=3(x^2-4x+4)=3(x-2)^2>=0 f'(x)=0 only if x=2, and for other x, f'(x)>0. Thus, f(x) is strictly monotonic on its domain.

  • Inverse function Values

    There fore the only number which could produce 9 was 2. 20) If f(x) = x+cosx, find f^-1(1) if x=0 then f(0)=0+cos(0)=1 21) if h(x) = x + SQRT(x) find h^-1(6) 6=2+4 then 6=2+2^2 then x=2 22) The formula C=(5/9)(F-32), where F is >= -459.67

  • Basic slope intercept equations

    Evaluate the function at the given value of the independent variable and simplify. f(x) = 4x2 + 5x - 6; f(x - 1) A) -3x2 + 4x - 7 B) 4x2 - 3x - 7 C) 4x2 - 3x + 3 D) 4x2 - 19x + 3 12.

  • Quadratic function graphing

    Graph the function. F(x)= (x+1) -4 6. Find the vertex,line of symmetry, and the maximum or minimum value of a quadratic function, and graph the function on paper. F(x) = x -12x-1 7.

View More Related Solutions