Monday

September 22, 2014

September 22, 2014

Posted by **kristie** on Tuesday, July 11, 2006 at 9:53am.

f(x) = -(x-2)^2, x <= 2

how do I solve this problem?

find f^-1 (x). (this is asking me to find the inverse)

f(x) = -(x-2)^2, x <= 2

how do I solve this problem?>>

If f(x)=-(x-2)^2 x<-2, then

let y=f(x)

- y = (x-2)^2

sqrt(-y)= x-2

x(y)= sqrt (-y) + 2

g(x)= sqrt(-x) + 2

and that is the inverse function

check:

g(f(x))= sqrt( (x-2)^2) +2 =x

f(g(x)= -((sqrt(-x) + 2 -2)^2= x

since g(f(x))=f(g(x)=x, then g(x) above is the inverse. Practice these.

I did not mean x<-2, but x is less than or equal to. How is this going to change the answer?

**Answer this Question**

**Related Questions**

math - Could you show me step by step how to find the inverse of this problem: ...

Algebra 2 - Find the inverse of the following function: f(x) = 3x + 12 I don't ...

Calculus - Let h(x)= x^3 + 4x -2. Let g(x) represent the inverse of h(x). Find g...

Inverse of log function - Find the inverse of f(x) = log(2+x) - 4 the base is "a...

algebra/trig - 1. f(x)=x^3+5 does f(x) have an inverse? if so, find the inverse ...

inverse - If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the...

Algebra - How do you find the inverse of functions? for example how would you ...

Algebra II (Matrices) - My book doesn't solve it like a linear equation, they ...

Math - Inverse Functions - Find the inverses of the following functions. y = 3(x...

Algebra 2 - formula for converting celcius to fahrenheit: F=9/5C+32 a) what is ...