Let f(x) = 8x3 + 18x2 − 10 and g(x) = 4x + 1. Find f of x over g of x.

Find f of x over g of x.

=512x³+672²+210x+16

Step-by-step explanation:

Step one

Given

f(x) = 8x³ + 18x² − 10 and

g(x) = 4x + 1

Find f(g(x))

Substituting 4x + 1 for x in f(x)

We have

f(g(x)) =8(4x+1)³+18(4x+1)²-10

=8(4x+1)(4x+1)(4x+1)+18(4x+1)(4x+1)-10

Opening the brackets

=8(4x+1)(16x²+8x+1)+18(16x²+8x+1)-10

=(32x+8)(16x²+8x+1)+288x²+144x+18-10

512x³+256x²+32x+128x²+64x+8+288x²+144x+18-10

Collecting like terms we have

512x³+256x²+128x²+288x²+32x+64x+144x +8+18-10

=512x³+672²+210x+16

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

triangle and cube

step-by-step explanation: