(Matching Type) Given f(x)=x+2 and g(x)=x2−4 match the expression to its simplification operation.
x3 + 2x2 - 4x - 8
Answer 1
Choose...(f-g, f+g, f/g, f*g, g/f, f.g)=to all choices
x - 2
Answer 2
Choose...
x2 - 2
Answer 3
Choose...
1/x-2
Answer 4
Choose...
-x2 + x + 6
Answer 5
Choose...
x2 + x - 2
Answer 6
Choose...
Answers
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Given : f(x)=x+2 , g(x)=x²−4
To find : f(x)-g(x), f(x)+g(x), f(x)/g(x), f(x)*(x), g(x)/f(x),
Solution:
f(x)=x+2
g(x)=x²−4
f(x).g(x) =( x+2)(x²−4 ) =x³ + 2x² - 4x - 8
f(x)/g(x) = (x²−4)/(x + 2) = x - 2
g(x)/f(x) = x+2 / (x²−4) = 1/(x - 2)
f(x)-g(x) = x + 2 -(x²−4 ) = -x² + x + 6
f(x)+g(x) = x + 2 +(x²−4 ) = x² + x - 2
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