EASY
AS and A Level
IMPORTANT
Earn 100

If fx=k-2x for x and gx=2x for x,x0.

Find the value of k for which the equation fgx=x has two equal roots.

Important Questions on Functions

EASY
AS and A Level
IMPORTANT

If fx=x2-3x for x and gx=2x-5 for x.

Find the values of k for which the equation gfx=k has real solutions.

EASY
AS and A Level
IMPORTANT

 If fx=x+52x-1 for x,x12.

Show that ffx=x.

EASY
AS and A Level
IMPORTANT

If fx=2x2+4x-8 for x,xk.

Express 2x2+4x-8 in the form ax+b2+c.

EASY
AS and A Level
IMPORTANT

If fx=2x2+4x-8 for x,xk.

Find the least value of k for which  the function is one-one.

EASY
AS and A Level
IMPORTANT

If fx=x2-2x+4 for x.

Find the set of value of x for which fx7.

EASY
AS and A Level
IMPORTANT

If fx=x2-2x+4 for x.

Express x2-2x+4 in the form x-a2+b.

EASY
AS and A Level
IMPORTANT

If fx=x2-2x+4 for x.

Write down the range of f.

EASY
AS and A Level
IMPORTANT

If fx=x2-5x for x and gx=2x+3 for x

Find fgx.