given that f(x) = 4x +1 and g(x) = x^2 -2,

which of the following is an expression for f(g(

a. 16x^2 + 8x - 1
b. x^2 + 4x - 1
c. 5x^2 - 1
d. 4x^2 - 7

d.

Step-by-step explanation:

The given functions are

and

We want to find the composition of the f and g.

We substitute into to obtain;

This simplifies to;

Hence the correct choice is d.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

did you get the answer yet?

step-by-step explanation: