# Consider the two functions #f(x)=x^2+2bx+1# and #g(x) =2a(x+b)#, where the varible x and the constants a and b are real numbers. Each such pair of the constants a and b may be considered as a point (a,b) in an ab-plane. Let S be the set ......?

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Consider the two functions #f(x)=x^2+2bx+1# and #g(x) =2a(x+b)# , where the varible x and the constants a and b are real numbers. Each such pair of the constants a and b may be considered as a point (a,b) in an ab-plane. Let S be the set of such points (a,b) for which the graaphs of #y=f(x) and # y=g(x)# do not intersect (in the xy - plane). The area of S is?

Consider the two functions

##### 1 Answer

Mar 6, 2017

#### Explanation:

Solving for

There is not intersection for the values

Thus area