Find f g for the given function fx 5x 8 and gx 3x 2 8x

Find f g for the given function. f(x) = 5x + 8 and g(x) = -3x - 2 -8x - 18 -15x + 6 -15x - 2 2x - 10

Given that

f(x) = 5x + 8 , g(x) = - 3x - 2

We know that

f o g = f ( g(x) )

f o g = f ( - 3x - 2 )

= 5 ( - 3x - 2 ) + 8 [ since f(x) = 5x + 8 ]

= - 15x - 10 + 8

f o g = - 15x - 2

Therefore,

f o g = - 15x - 2