Question

F(x) = x2 + 2x + 1, g(x) = 3x + 31
Find the values of x for which
f(x) = g(x).

Answer 1

x=6 and x=−5

Explanation:

To find the values of x for which f(x)=g(x), you need to set the two functions equal to each other and solve for x:

Given functions:

`f(x)=x^(2) +2x+1`

`g(x)=3x+31`

Set f(x) equal to g(x):

`x^(2) +2x+1=3x+31`

Now, let's solve for x:

Subtract 3x and 31 from both sides of the equation:

`x^(2) -x-30=0`

Now, factor the quadratic equation:

`(x-6)(x+5)=0`

Set each factor equal to zero and solve for x:

`x-6=0= > x=6\\x+5=0= > x=-5`

So, the values of x for which f(x)=g(x) are x=6 and x=−5.