Question

Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.

Answer 1

f(g(x)) means replace all the x's in f(x) with g(x)

\[f(g(x))=f(2x^2+5)\]
\[f(g(x))=(2x^2+5)^2+(2x^2+5)+2\]

Answer 2

Is that the answer??

Answer 3

yes

Answer 4

Thank you so much. Can you please help me with this last one? Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable. Show each step of your solution process.

Answer 5

use the draw function to draw it out

Answer 6

whats all under the square root?

Answer 7

under the square root is just x-6

Answer 8

subtract the 2 from both sides

Answer 9

and then square root both sides?

Answer 10

No. square both sides