Square root function - AR - 2/5

The inverse of a function can be generated by the following methods, EXCEPT

• Switch x and y values in a table
• Reflect the function across x and y axis
• Switch the domain and range
• Reflect the function across the line y=x 

What is the inverse of the quadratic function?

• linear function
• cube root function
• square root function
• exponential function

What is the notation of inverse of function, f(x)?

• f^-1(x)
• g(x)
• f(x)
• (f.g)(x)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

f(x) = (x - 5)²
g(x) = 5 + √x 
What restriction must be applied to f(x) to be the inverse of g(x)?
 to be the inverse of 

• domain of f(x) must be restricted to {x| x ≥ 5}
• domain of f(x) must be restricted to {x| x ≤ 5}
• range of f(x) must be restricted to {y| y ≥ 5}
• range of f(x) must be restricted to {y| y ≤ 5}

What is the range of f(x) = (x + 4)² - 5 in a set builder notation?

• {y| y ≥ 4}
• {y| y ≥ -4}
• {y| y ≥ 5}
• {y| y ≥ -5}