A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
If f(x) = 3x + 2 and g(x) = x2 + 1 which expression is equivalent to (f*g)(x)
(3x + 2)(x2 + 1)
3x2 + 1 + 2
(3x + 2)2 + 1
3(x2 + 1) + 2
Solution:
Given, the functions are
f(x) = 3x + 2
g(x) = x2 + 1
We have to find (f*g)(x)
This is a composite function, where f(x) takes the output values of g(x) as its inputs.
(f*g)(x) = f(g(x))
f(g(x)) = f(x2 + 1)
= 3(x2 + 1) + 2
Therefore, (f*g)(x) = 3(x2 + 1) + 2.
If f(x) = 3x + 2 and g(x) = x2 + 1 which expression is equivalent to (f*g)(x)
Summary:
If f(x) = 3x + 2 and g(x) = x2 + 1, the expression equivalent to (f*g)(x) is 3(x2 + 1) + 2.
Example:
If f(x) = 2x + 2 and g(x) = x + 1 which expression is equivalent to (f*g)(x).
Solution:
Given, the functions are
f(x) = 2x + 2
g(x) = x + 1
We have to find (f*g)(x)
(f*g)(x) = f(g(x))
f(g(x)) = f(x + 1)
= 2(x + 1) + 2
= 2x + 2 + 2
= 2x + 4
Therefore, (f*g)(x) = 2x + 4.
Summary:
If f(x) = 2x + 2 and g(x) = x + 1, the expression equivalent to (f*g)(x) is 2x + 4.
Math worksheets and
visual curriculum
visual curriculum