Given that \(f(x) = x - 1\) then \(g(x) = \sqrt {f(x)} \) is?
\(C\)
Given that \(f(x) = {x^2} - 1\) then \(g(x) = \sqrt {f(x)} \) is?
\(A\)
Given that \(f(x) = x({x^2} - 1)\) then \(g(x) = \sqrt {f(x)} \) is?
Given that \(f(x) = {(x + 1)^2}\) then \(g(x) = \sqrt {f(x)} \) is?
Use the graph of \(f(x) = {x^2} - 1\) to sketch the graph of \(y = \sqrt {f\left( x \right)} \).
Refer to the worked solutions for sketch of graph
Use the graph of \(f(x) = 1 - x\) to sketch the graph of \(y = \sqrt {f\left( x \right)} \).
Use the graph of \(f(x) = 2x\left( {x - 1} \right)\) to sketch the graph of \(y = \sqrt {2x\left( {x - 1} \right)} \).
Use the graph of \(f(x) = 3{x^2} - {x^3}\) to sketch the graph of \(y = \sqrt {f\left( x \right)} \).