I need help on Lesson 2: Semester B Exam CE 2015
Algebra 2 B Unit 8: Semester B Review and Exam
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Option D
Step-by-step explanation:
Given:-
f(x) = x^2+6
g(x) = (x+8)/x
To find:-
Find gof(-7) ?
Solution:-
Given that
f(x) = x^2+6
g(x) = (x+8)/x
We know that
g o f(x)
=> g(f(x))
=>g o f means f(x) function is in g(x) function
=> [(x^2+6)+8)]/(x^2+6)
=> (x^2+6+8)/(x^2+6)
=> (x^2+14)/(x^2+6)
g o f (x) = (x^2+14)/(x^2+6)
Now ,
g o f (-7)
=> g(f(-7))
=> [(-7)^2+14]/[(-7)^2+6]
=> (49+14)/(49+6)
=> 63/55
Answer:-
The value of g o f (-7) for the given problem is 63/55
Used formulae:-
- g o f(x) = g(f(x))
- g o f means f(x) function is in g(x) function.
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