Question

F(x)=x^2+13 g(x)=3x+14 find f(x)=g(x)

Answer 1

x = -3 +- sqrt( 13)

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2

Explanation:

f(x)=x^2+13 g(x)=3x+14

f(x)=g(x)

x^2+13 = 3x+14

Subtract 3x from each side

x^2 -3x+13 = 3x-3x+14

x^2 -3x+13 = 14

Subtract 14 from each side

x^2 -3x+13-14 = 14-14

x^2 -3x-1 =0

Using the quadratic formula

a=1 b=-3 c=-1

-3 +- sqrt( (-3) ^2 - 4 (1) ( (-1))

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2(1)

-3 +- sqrt( 13)

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2