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Use the Desmos Graphing Calculator tool for this question. Note that whenever you are asked to produce a graph using Desmos, your screenshot must include the spot where you input your equations and points. https://www.desmos.com/calculator PART A. [2 MARKS]. State the domain and range of $f(x) = \sqrt{x + 10} + 7$ using interval notation. PART B. [2 MARKS]. Determine the inverse function, $f^{-1}(x)$. PART C. [3 MARKS]. What is the domain and range of the inverse and how do we know it immediately? PART D. [2 MARKS]. Use function composition to prove the functions are inverses. PART E. [2 MARKS]. Using Desmos, graph $f(x)$ and its inverse together on their appropriate domains. Include the line of symmetry (as a dotted line) that verifies graphs of inverse functions. [Hint: See Example 1.30 in Section 1.4].

          Use the Desmos Graphing Calculator tool for this question. Note that whenever you are asked to produce a graph using Desmos, your screenshot must include the spot where you input your equations and points.
https://www.desmos.com/calculator
PART A. [2 MARKS]. State the domain and range of $f(x) = \sqrt{x + 10} + 7$ using interval notation.
PART B. [2 MARKS]. Determine the inverse function, $f^{-1}(x)$.
PART C. [3 MARKS]. What is the domain and range of the inverse and how do we know it immediately?
PART D. [2 MARKS]. Use function composition to prove the functions are inverses.
PART E. [2 MARKS]. Using Desmos, graph $f(x)$ and its inverse together on their appropriate domains. Include the line of symmetry (as a dotted line) that verifies graphs of inverse functions. [Hint: See Example 1.30 in Section 1.4].

Use the Desmos Graphing Calculator tool for this question. Note that whenever you are asked to produce a graph using Desmos, your screenshot must include the spot where you input your equations and points.
https://www.desmos.com/calculator
PART A. [2 MARKS]. State the domain and range of f(x) = √(x + 10) + 7 using interval notation.
PART B. [2 MARKS]. Determine the inverse function, f^-1(x).
PART C. [3 MARKS]. What is the domain and range of the inverse and how do we know it immediately?
PART D. [2 MARKS]. Use function composition to prove the functions are inverses.
PART E. [2 MARKS]. Using Desmos, graph f(x) and its inverse together on their appropriate domains. Include the line of symmetry (as a dotted line) that verifies graphs of inverse functions. [Hint: See Example 1.30 in Section 1.4].

Added by David G.

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