2) Given f(x)=√√x+3, g(x) = a) (fog)(x) f(g(x)) ax f( XHI 啊!!! +3 X+1 2x X+1' and h(x) = 3x, evaluate the following: b) (gof)(x) g(f(x)) 9 (√x+3) 2√x+3 √x +3 +1 c) (hof)(x) h(f(x)) (√x+3) 3√x+3
2) Given f(x)=√√x+3, g(x) = a) (fog)(x) f(g(x)) ax f( XHI 啊!!! +3 X+1 2x X+1' and h(x) = 3x, evaluate the following: b) (gof)(x) g(f(x)) 9 (√x+3) 2√x+3 √x +3 +1 c) (hof)(x) h(f(x)) (√x+3) 3√x+3
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Related questions
Question
I am struggling with problem 2 on the attached worksheet. Could you look at problem 2 and see if they are correct and/or my work is correct? If they are incorrect, what am I doing wrong?
Thank you,
Ryan
Transcribed Image Text:Ryan Phippor
1.7-1.8 Lab
Piece-wise Functions (1.7)
1) Graph the following piece-wise defined function. Evaluate for the given values of x.
-3x,x<-1)
+++
After graphing above, evaluate:
a) f(-3)
-3(-3)=
2) Given f(x)=√√x+3, g(x) =
a) (fog)(x)
f(g(x))
ax
Function Composition (1.8)
f(
<
ax
Xx+1
+3
b) f(-1)
f(x)= 2,x=-1
x², x>-1
+++
2x
x+1'
b) (gof)(x)
g(f(x))
9 (√x+3)
-3x
-10-3(-1)=3
-2-3(-2) = 6
2√x+3
√x +3 +1
-3-3(-3)=9
-4-3(-4)=12
and h(x) = 3x, evaluate the following:
c) f(0)
c) (hof)(x)
h(f(x))
^ (√x+3)
3√x+3
Week 6
a
O
002
1
= 1
22² = 4
3/3² = 9
Expert Solution
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