Consider the following functions : g(x) = 3 – 2x h(x) = √x f(x) = 3x^2 + 2 Find : a) (g - h)( 1) b) (f o g)(x) c) (f(2+h)- f(2))/h
Added by Samantha J.
Step 1
g(1) = 3 - 2(1) = 1 h(1) = √1 = 1 So, (g - h)(1) = g(1) - h(1) = 1 - 1 = 0. b) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Jerelyn Nevil and 50 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Determine functions $g$ and $h$ so that $f(x)=g(h(x))$. $$f(x)=(x+3)^{2}$$
Functions
Composite functions
Find $f(x)$ and $g(x)$ so that the given function $h(x)=(f \circ g)(x)$ $$ h(x)=\frac{1}{2 x-3} $$
Exponential and Logarithmic Functions
The Algebra of Functions; Composite Functions
Find two functions $f$ and $g$ such that $h(x)$ can be expressed as the function indicated. Several answers are possible. $$h(x)=(3 x-2)(3 x+2) ; f+g$$
Functions and Function Notation
Operations on Functions
Recommended Textbooks
Precalculus with Limits
Precalculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD