MHB Solving Function Expressions h(x): (x+a)2 +b & h-1 Range

AI Thread Summary
The function h is defined as h(x) = x^2 - 8x - 9 for x ≥ 4, and can be rewritten in the form (x + a)^2 + b by completing the square, resulting in a = -4 and b = -25. The inverse function h^(-1) can be expressed in the form h^(-1): x = √(x + 25) + 4. The range of the function h is determined to be [-25, ∞) based on its vertex. The discussion also includes clarification on how to write mathematical expressions in LaTeX, emphasizing the use of dollar signs for formatting. Overall, the thread focuses on solving the function and its properties while addressing formatting questions.
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The function h is defined as h : x x 2 – 8x – 9 where x ≥4
(a) h(x) can be written in the form (x+a) 2 +b, find the value of ‘a’ and ‘b’
(b) Express the inverse function h –1 in the form h –1 : x ...
(c) Find the range of function ‘h’.
 
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"x x 2"?? Was that supposed to be $x^2$, which can be written, in AASCI, as x^2? And is "(x+ a)" supposed to be $(x+ 2)^2$?

If so COMPLETE THE SQUARE! Half of -8 is -4 and $(-4)^2$ is 16. Add and subtract 16:
$x^2- 8x+ 16- 16- 9= (x^2- 8x+ 16)- 25= (x- 4)^2- 25$.
 
how do u write x^2

??
 
Help seeker said:
how do u write x^2

??

x squared

in Latex, typing \$x^2\$ yields $x^2$
 
$x^2$
 
If you are asking about how to write that $x^2$, that uses "Latex". Latex has to be installed on the board- it is on all those that I know. On this board, you start and end any Latex with a dollar sign, \$ or with "math" and "\math" inside [ ]. To get $x^2$ write "dollar sign x^2 dollar sign". Unfortunately that varies from board to board. Some use and.
 
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$x^2$
 
How do I mark as solved?
 

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