Function Inverse - Two Functions to Is Inverse (Level 1)

Function Inverse - Two Functions to Is Inverse

Level 1

This topic covers determining whether one function is the inverse of another. It includes practicing the concept of function inversion by evaluating specific function pairs to ascertain if they are inverses. The problems involve algebraic expressions that require understanding of basic algebraic operations and inversion relationships between functions. Each problem presents two functions, and the task is to decide if one is the inverse of the other, reinforcing the foundational concepts of function composition and inversion.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Inverse - Two Functions to Is Inverse Worksheet

Function Inverse - Two Functions to Is Inverse

$A LaTex expression showing \begin{align*}\text{given:}&\\r(x) &= 4 x to the power of 2 \\m(x) &= square root of x over 4 \end{align*}$

Is m(x) the inverse of r(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\r(x) &= 3 over -2x \\p(x) &= 3x over -2 \end{align*}$

Is p(x) the inverse of r(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\c(x) &= 4square root of 2x\\b(x) &= x to the power of 2 over 32 \end{align*}$

Is b(x) the inverse of c(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\z(x) &= -5 x to the power of 2 \\d(x) &= square root of x over -5 \end{align*}$

Is d(x) the inverse of z(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\m(x) &= 5 x to the power of 2 \\y(x) &= square root of x over 5 \end{align*}$

Is y(x) the inverse of m(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\d(x) &= -5 x+3\\n(x) &= x-3 over -5 \end{align*}$

Is n(x) the inverse of d(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\c(x) &= -2 x-5 over -3 \\b(x) &= -3 x+5 over -2 \end{align*}$

Is b(x) the inverse of c(x)

Yes

$A LaTex expression showing \begin{align*}\text{given:}&\\p(x) &= 2 x+5\\m(x) &= x-2 over +5 \end{align*}$

Is m(x) the inverse of p(x)

Yes