SOLUTION: Find the composition of functions indicated: 1. g[f(x)] if g(x) = x2 and f(x) = x + 3. A. x2 + 6x + 9 B. x2 + x + 3 C. x2 - x - 3 D. x3 + 3x2 E. x2 + 3 F. x2 + 9 2.

Algebra ->  Functions -> SOLUTION: Find the composition of functions indicated: 1. g[f(x)] if g(x) = x2 and f(x) = x + 3. A. x2 + 6x + 9 B. x2 + x + 3 C. x2 - x - 3 D. x3 + 3x2 E. x2 + 3 F. x2 + 9 2.      Log On


   

Question 1197895: Find the composition of functions indicated:
1. g[f(x)] if g(x) = x2 and f(x) = x + 3.
A. x2 + 6x + 9
B. x2 + x + 3
C. x2 - x - 3
D. x3 + 3x2
E. x2 + 3
F. x2 + 9

2. f[g(x)] if g(x) = x2 and f(x) = x + 3.
A. x2 + 6x + 9
B. x2 + 3
C. x3 + 3x2
D. x2 + x + 3
E. x2 - x - 3
F. x2 + 9

3. g[f(x)] if f(x) = 4x + 1 and g(x) = 2x2 - 5
A. 8x2 - 19
B. 8x3 + 6
C. 16x2 + 8x - 2
D. 8x2 - 20
E. 16x2 + 8x - 20
F. 32x2 + 16x - 3

4. f[g(x)] if f(x) = 4x + 1 and g(x) = 2x2 - 5
A. 32x2 + 16x - 3
B. 8x3 + 6
C. 16x2 + 8x - 2
D. 8x2 - 19
E. 8x2 - 20
F. 16x2 + 8x - 20

5. g[f(x)] if g(x)=√(x) and f(x)= x + 1
A. √(x + 1)
B. √(x) + 1
C. x2 + 1
D. x2 + x + 1
E. x2 + x
F. x + 1

6. f[g(x)] if g(x)=√(x) and f(x)= x + 1
A. √(x + 1)
B. x2 + 1
C. √(x) + 1
D. x2 + x
E. x + 1
F. x2 + x + 1

7. s[h(x)] if s(x) = 2x and h(x) = x2
A. 4
B. 2(x2)
C. 4x
D. x(2x)
E. x2
F. 2x2

8. h[s(x)] if s(x) = 2x and h(x) = x2
A. (2x)2
B. 4
C. 42x
D. x(2x)
E. x2
F. 2x2

9. n[m(t)] if n(x) = 3x and m(t) = √(t) + 1
A. √(3x) + 1
B. 3[√(t)]
C. √(t) + 3
D. 3[√(t) + 1]
E. 3[√(t)] + 3
F. √(3x) + 3

10. m[n(x)] if n(x) = 3x and m(t) = √(t) + 1
A. 3[√(t) + 1]
B. 3[√(t)] √(t) + 3
C. √(t) + 3
D. √(3x) + 1
E. √(3x) + 3
F. 3[√(t)] + 3
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1. g%28f%28x%29%29+if g%28x%29+=+x%5E2 and f%28x%29+=+x+%2B+3.
g%28f%28x%29%29+=g%28x+%2B+3%29
g%28f%28x%29%29+=%28x+%2B+3%29%5E2
g%28f%28x%29%29+=x%5E2+%2B+6+x+%2B+9

A.+x%5E2+%2B+6x+%2B+9


2.+f%28g%28x%29%29 if g%28x%29+=+x%5E2 and f%28x%29+=+x+%2B+3.
f%28g%28x%29%29+=f%28x%5E2%29+
f%28g%28x%29%29+=x%5E2%2B3

B. x%5E2+%2B+3


3. g%28f%28x%29%29+if f%28x%29+=+4x+%2B+1+and+g%28x%29+=+2x%5E2+-+5
g%28f%28x%29%29+=g%284x+%2B+1%29+
g%28f%28x%29%29+=2%284x+%2B+1%29%5E2-5
g%28f%28x%29%29+=2%2816+x%5E2+%2B+8+x+%2B+1%29-5
g%28f%28x%29%29+=32+x%5E2+%2B+16+x+%2B+2-5
+g%28f%28x%29%29+=32+x%5E2+%2B+16+x+-3

F. 32x%5E2+%2B+16x+-+3


4. f%28g%28x%29%29 if f%28x%29+=+4x+%2B+1+and g%28x%29+=+2x%5E2+-+5
f%28g%28x%29%29=f%282x%5E2+-+5%29
f%28g%28x%29%29=4%282x%5E2+-+5%29%2B1
f%28g%28x%29%29=8x%5E2+-+20%2B1
f%28g%28x%29%29=8x%5E2+-+19

D. 8x%5E2+-+19


5.+g%28f%28x%29%29+if g%28x%29=sqrt%28x%29 and+f%28x%29=+x+%2B+1
g%28f%28x%29%29+=g%28x+%2B+1%29+
g%28f%28x%29%29+=sqrt%28x+%2B+1%29+
A. sqrt%28x+%2B+1%29


6. f%28g%28x%29%29 if g%28x%29=sqrt%28x%29+and f%28x%29=+x+%2B+1
f%28g%28x%29%29=f%28sqrt%28x%29%29
f%28g%28x%29%29=sqrt%28x%29%2B1

C. sqrt%28x%29+%2B+1


7. s%28h%28x%29%29+if s%28x%29+=+2x+and h%28x%29+=+x%5E2

s%28h%28x%29%29+=s%28x%5E2%29
s%28h%28x%29%29+=2%28x%5E2%29
s%28h%28x%29%29+=2x%5E2
answer is
F. 2x%5E2


8. h%28s%28x%29%29+if s%28x%29+=+2x+and h%28x%29+=+x%5E2
h%28s%28x%29%29+=h%282x%29
h%28s%28x%29%29+=%282x%29%5E2

A.+%282x%29%5E2


9. n%28m%28t%29%29+if n%28x%29+=+3x and m%28t%29+=+sqrt%28t%29+%2B+1
n%28m%28t%29%29=n%28sqrt%28t%29+%2B+1%29+
n%28m%28t%29%29+=3%28sqrt%28t%29+%2B+1%29

D. 3%28sqrt%28t%29+%2B+1%29


10. m%28n%28x%29%29 if n%28x%29+=+3x+and+m%28t%29+=+sqrt%28t%29++%2B+1
m%28n%28x%29%29=m%283x+%29
m%28n%28x%29%29=sqrt%283x+%29%2B+1


D. sqrt%283x%29+%2B+1