Lesson Solving $Rea1-1ife$ Problems 1 Involving Inverse Functions You have learned from your previous modules the representations inverse functions through its table of values, graphs, and equations. You also learned how to find its domain and range which are important in the study of solving $ca1-litc$ problems involving inverse functions. This module will help you solve $ca1-lit9$ problems involving inverse functions. What's In Let us start your journey by recalling the previous lessons you already learned about inverse functions. Here is the list of functions and its inverse, match column B to column A by finding the inverse of the items in column A. Write the letter of the answer in the box below that will reveal a "word" or the name of the "building" that you are looking for. The United Arab Emirates was given the title of "The Tallest Building in the World" on January 4, $2010$ What is the name of the building? Column A Column B 1. gfx) = $x^{5}-3$ R. y= 5x+1 9x-4 2. fix) = $7x+10$ A. y 3 4x+1 A. y = t. 5 3. h(x) = 9x-5 4. $k=\dfrac {5} {2}\left(t-32\right)+273.15$ J. y $-\left(k-273.15\right)+32$ 5. wx) $=2x+9$ L.y = 3 x+7 x-9 K. y = 2 6. t(x) %3D $\dfrac {x+2} {3x-5}$ $|5x|$ B. y = Vx + 3 7. 8. rsxpx) ) = = $2x^{3-7}$ H. y = 5x+2 9. q(x) $=3x-5$ F. y = x3-x1-1 1 10. n(x) $=5x+11$ 11. $z\left(x\right)=3t$ $1.y=\dfrac {x+5} {3}$ $Ry=\sqrt{\dfrac {x-2} {7}} $ $v.y=\dfrac {x-10} {7}$ 3 $\dfrac {\square } {4}$ $\bar{5678} 9$ $\dfrac {\square } {1011}$ 4 00 HUAWEI Nova 3i DUAL CAMERA

This module is about the $1o11\right)tai1$ and $11\right)g0$ of a rational function. It laid down the basic $conCcpts$ of domain and range $1111$ showed how to determine them in a rational function. From this module, you learned that a function is a simple rule of correspondence between two variables xand y. The x variable is considered the input which is also called the independent variable while the y variable is the output which is also called the dependent variable. It is a basic notion that for every value there corresponds a value in y. This set of values in x is the domain while the soef t ox f values in $yis$ the range of a rational function. $\left(018$ you try to summarize on your own by $1$ in the blanks $T0$ determine the domain and range in rational functions, the denominator to $a\pi $ solve for the variable x The $0bcc1x$ is that it must have denominator. The value that would make it zero is the value that woukd included in the domain. To find the range, solve the equation for x in terms $2$ $x$ in $Aain$ it must have $1011$ $1$ denominator. The value that would make $\bar{x} $ equal to $x$ is the value that would not be inchaded in the range.

The United Arab LMMalu the World" on January $4,2010$ What is the name of the buildingr Column B Column A R. y = Sx+1 9x-4 1. $g\left(x\right)=x^{5-3}$ A. $y=-$ $3$ 2. $f\left(x\right)=7x+10$ A. $y=±\sqrt{\dfrac {x^{2}} {5}} $ 3. $h\left(x\right)=$ $\dfrac {x+1} {9x-5}$ J. $y=\dfrac {9} {5}\left(k-273.15\right)+32$ 4. $k=\dfrac {5} {9}\left(t-32\right)+273.15$ L. $y=\sqrt [3] {\dfrac {x+7} {2}} $ 5. $w\left(x\right)=2x+9$ K. 6. $4\left(x\right)=$ 3xx+-2 5 B. 7. $7\left(x\right)=15x|$ H. 8. $s\left(x\right)=2x3-7$ F. 9. $q\left(x\right)=3x-5$ $y=-$ $=\sqrt{x} +3$ $y$ $-$ $=$ $1y=$ $y$ $\sqrt{} $ $y→$ $10.n\left(x\right)=5x+11$ R. 11. $z\left(x\right)=3t$ U.