Q5) Given - Let f(x) = 9x²-49 9(x) = 3x - 7 To find a) (fog) (x) b) (gof)(x) c) (f)(x) Colution = a) (fog)(x) = f(g(x)) = f[Bx-1] c) [ (fog)(x) 2. (fog) (x) = 81x² 378x + 329 b) (gof) (x) = g(F(x)) (gof) (x) = (f)(x) = 9 (3x-7) - 49 = F [9x²=42x+49]-49 81x²-378 +378 - 49 2 97x²-147-7 = 271²³-154 f(x). 9(x) 9 (9x²-49) 3 (9²-49) - 7- since g(x)=32-7 92²-49 3K-7 since g(x)= 3x-7 2 - since f(x) = 9x ² = 49 ( ) (x²) = 3x +7 I 14 T (T) (3x-7)(3x +7) [since a²_b² = (a + b) (a^b)] (3x7)
Q5) Given - Let f(x) = 9x²-49 9(x) = 3x - 7 To find a) (fog) (x) b) (gof)(x) c) (f)(x) Colution = a) (fog)(x) = f(g(x)) = f[Bx-1] c) [ (fog)(x) 2. (fog) (x) = 81x² 378x + 329 b) (gof) (x) = g(F(x)) (gof) (x) = (f)(x) = 9 (3x-7) - 49 = F [9x²=42x+49]-49 81x²-378 +378 - 49 2 97x²-147-7 = 271²³-154 f(x). 9(x) 9 (9x²-49) 3 (9²-49) - 7- since g(x)=32-7 92²-49 3K-7 since g(x)= 3x-7 2 - since f(x) = 9x ² = 49 ( ) (x²) = 3x +7 I 14 T (T) (3x-7)(3x +7) [since a²_b² = (a + b) (a^b)] (3x7)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 4ST
Related questions
Question
TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
![2
Q5) Given let f(x) = 9x²-49
9(x) = 3x - 7
To find = a) (fog) (H)
b) (gof) (x)
e) (fox)
Solution = a) (fog)(x) = f(g(x))
b) (gof) (x) =
=
[ (fog)(x)
L
2 (fog) (H) = 81x² = 378x +329
(gof) (x)
£)(x)
=
=
=
n
=
= 9 (3x-7)- 49 - since f(x)=9x²=49
- 9 [92²-42x+49] -49
= f[3x-7] . since g(x)=38-7
2
81x²-376x +378 -49
g(f(x))
9 (9x²-49)
3 (9x²-49) -7 - since 9(x)=32-7
2
97x²-147 - 7
2
974²-154
f(x)
9(x)
9x²-49
31-7
( ) ( x ) = 3x+7
2
11
(3-7) (3x+7) [since a²_b² = (a+b)(a+b)]
(3x-7)
IT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04e69fc8-7342-4555-9b13-effc35ae08ea%2F24d14d47-cea3-4e05-8000-052196fa1545%2Fs09szp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
Q5) Given let f(x) = 9x²-49
9(x) = 3x - 7
To find = a) (fog) (H)
b) (gof) (x)
e) (fox)
Solution = a) (fog)(x) = f(g(x))
b) (gof) (x) =
=
[ (fog)(x)
L
2 (fog) (H) = 81x² = 378x +329
(gof) (x)
£)(x)
=
=
=
n
=
= 9 (3x-7)- 49 - since f(x)=9x²=49
- 9 [92²-42x+49] -49
= f[3x-7] . since g(x)=38-7
2
81x²-376x +378 -49
g(f(x))
9 (9x²-49)
3 (9x²-49) -7 - since 9(x)=32-7
2
97x²-147 - 7
2
974²-154
f(x)
9(x)
9x²-49
31-7
( ) ( x ) = 3x+7
2
11
(3-7) (3x+7) [since a²_b² = (a+b)(a+b)]
(3x-7)
IT
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