Question

3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table

and your work.

Answer 1

x = -3 , 7

Explanation:

f (x) = g(x)

x ² − 8x −15 = −4x + 6

x ² − 8x − 15 + 4x − 6 = 0

x ² −4x−21 = 0

x ² −7x + 3x −21 = 0

x ( x − 7 ) + 3( x − 7 ) = 0

( x + 3 ) ( x − 7 ) = 0

x = −3, 7

Answer 2

Explanation:

`f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7`