Functions & Graphs Level – 2

The values of x, for which the functions f(x) = x, g(x) = (√x)² and h(x) = x²/x are identical, is

Which of the following is an even function?

The graph of y = (x + 3)³ + 1 is the graph of y = x³ shifted

If f(x) = 5x³ and g(x) = 3x⁵, then f(x).g(x) will be

If f(x) = x² and g(x) = logₑx, then f(x) + g(x) will be

If f(x) = x³ and g(x) = x²/5, then f(x) – g(x) will be

f(x) is any function and f⁻¹(x) is known as inverse of f(x), then f⁻¹(x) of f(x) = 1/(x – 2) is

f(x) is any function and f⁻¹(x) is known as inverse of f(x), then f⁻¹(x) of f(x) = eˣ is

Directions for Questions 9 to 18:

Mark(a) if f(–x) = f(x)

Mark (b) if f(–x) = –f(x)

Mark (c) if neither (a) nor (b) is true

Mark (d) if f(x) does not exist at at least one point of the domain.

Directions for Questions 9 to 18:

Mark (a) if f(–x) = f(x)

Mark (b) if f(–x) = –f(x)

Mark (c) if neither (a) nor (b) is true

Mark (d) if f(x) does not exist at at least one point of the domain.