Question

i need help asa!! . f(x) = 4x + 6 g(x) = 2x + 10 At what input would both functions produce the same output?

Answer 1

x = 2

solve 4x + 6 = 2x + 10

subtract 2x from both sides

2x + 6 = 10

subtract 6 from both sides

2x = 10 - 6 = 4

divide both sides by 2

x = $\frac{4}{2}$ = 2

as a check f(2) =(4 × 2 )+ 6 = 14 and g(2) =( 2× 2) + 10 = 14