Consider the functions c( ) 3 sin osx xf x += where 0 ≤ x ≤ π and g (x) = 2x where x ∈ .(a) Find ( f g)(x) .
Question
Solution 1
To find the composition of two functions, (f o g)(x), you substitute g(x) into f(x).
Here, f(x) = 3sin(x) + x and g(x) = 2x.
So, (f o g)(x) = f(g(x)) = 3sin(g(x)) + g(x)
Substitute g(x) = 2x into the equation:
(f o g)(x) = 3sin(2x) + 2x
So, (f o g)(x) = 3sin(2x) + 2x is the composition of the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Let f : [0, π] → R be defined byf (x) =(0 if x = 0,x sin 1x − 1x cos 1x if x̸ = 0.Is f continuous?
Consider the function f: R→R defined by f(x)=sin(x)+cos(2x). Which of the following statements about f(x) is true?
Consider the functions c( ) 3 sin osx xf x += where 0 ≤ x ≤ π and g (x) = 2x where x ∈ .(a) Find ( f g)(x) .
Consider the following function: f(x) = { sin x , if 0 ≤ x ≤ π 4 cos x , if π 4 ≤ x ≤ π 2 . Expand f(x) in a Fourier series of sine terms.
Consider the functions f , g : R → R defined as f (x) = 3px + 1 and g(x) = x3. Find theformulas for g ◦ f and f ◦ g