Inverse functions and restricted domains: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \left(x - 16\right)^{2} + 2\) for \(\displaystyle x\ge 16\). Here \(\displaystyle a=1, h=16, k=2, d=5\).
Find the least output of f.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \left(x - 17\right)^{2} + 3\) for \(\displaystyle x\ge 17\). Here \(\displaystyle a=2, h=17, k=3, d=2\).
Find the least output of f.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \left(x - 17\right)^{2} + 3\) for \(\displaystyle x\ge 17\). Here \(\displaystyle a=2, h=17, k=3, d=2\).
Find \(\displaystyle f^{−1}\) at the output \(\displaystyle k+a d^{2}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 \left(x - 18\right)^{2} + 4\) for \(\displaystyle x\ge 18\). Here \(\displaystyle a=3, h=18, k=4, d=3\).
Find \(\displaystyle f^{−1}\) at the output \(\displaystyle k+a d^{2}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 3 \left(x - 18\right)^{2} + 4\) for \(\displaystyle x\ge 18\). Here \(\displaystyle a=3, h=18, k=4, d=3\).
Find the input whose output is \(\displaystyle k+4a d^{2}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \left(x - 19\right)^{2} + 5\) for \(\displaystyle x\ge 19\). Here \(\displaystyle a=1, h=19, k=5, d=4\).
Find the input whose output is \(\displaystyle k+4a d^{2}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = \left(x - 19\right)^{2} + 5\) for \(\displaystyle x\ge 19\). Here \(\displaystyle a=1, h=19, k=5, d=4\).
Find the lower endpoint of the domain of f.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Inverse functions and restricted domains: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(f{\left(x \right)} = 2 \left(x - 20\right)^{2} + 6\) for \(\displaystyle x\ge 20\). Here \(\displaystyle a=2, h=20, k=6, d=5\).
Find the lower endpoint of the domain of f.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.