Operation-on-function-Part-1.pptx grade 11

Prepared by: Ms. Jeska Amante
Operations on
Functions

Review:
1. .Find
𝒎
𝒏
(7)
2. Find (m◦n) (12)
3. Find m+9 (12)

Operations on functions
are similar to operations
on numbers. Adding,
subtracting
and multiplying two or
more functions together
will result in another
function.
Dividing two functions
together will also result
in another function if the
denominator
or divisor is not the zero
function. Lastly,

Definition: Let f and g
be functions.
1. Their sum, denoted
by
f + g, is the function
denoted by
(f+g)(x) = f (x) + g
(x)

Solution:
Given the functions:
f(x) = x + 5 ;
g(x)=2x-1
h(x) = 2x2+9x-5
1. (f+g)(x)
(f+g)(x) = f(x) +
g(x)
(f+g)(x) = f(x) + g(x)
= (x + 5) + (2x-1)
=3x+4
= (x + 5) + (2x-1)

Example:
f(x) = 3x+6
j(x) = 4x+5
1. (f+j)(x) 2. (h+k)(x)
h(x) = 8x2-7
k(x) = x+5

Example:
f(x) = 3x+6
j(x) = 4x+5
1. (f+j)(5) 2. (h+k)(2)
h(x) = 8x2-7
k(x) = x+5

Definition: Let f and g
be functions.
2. Their difference,
denoted by
f - g, is the function
denoted by
(f-g)(x) = f (x) - g
(x)

Solution:
Given the functions:
f(x) = x + 5 ;
g(x)=2x-1
h(x) = 2x2+9x-5
1. (f-g)(x)
(f-g)(x) = f(x) -
g(x)
(f-g)(x) = f(x) - g(x)
= (x + 5) - (2x-1)
=-x+6
= x + 5 - 2x+1

Example:
f(x) = 3x+6
j(x) = 4x+5
1. (f-j)(x) 2. (h-k)(x)
h(x) = 8x2-7
k(x) = x+5

Example:
f(x) = 3x+6
j(x) = 4x+5
1. (f-j)(5) 2. (h-k)(2)
h(x) = 8x2-7
k(x) = x+5

Operation-on-function-Part-1.pptx grade 11

More Related Content

Similar to Operation-on-function-Part-1.pptx grade 11 (20)

Recently uploaded (20)

Operation-on-function-Part-1.pptx grade 11