Functions question (not so sure how to find the answer)

Question

1. Given that f(x)=x+2 g(x)=3/x

1. Calculate the value of x so that f(x)=g(x)

Answer 1

Hello Libtiana,

set f(x) = g(x): x+2 = 3/x

Multiply both sides by x to get rid of the fraction part on the right-hand side: x(x+2) = 3

Expand left-hand-side: x² + 2x = 3

Bring 3 on left hand side: x² + 2x -3 = 0

That can be factored as (x+3)(x-1)=0 so solutions are x = -3, x = 1

the value of x such that f(x) = g(x) is x = -3 or x =1.