Question

Consider the functions f(x) = 4x2 and g(x) = 5(x + 7). Find f[g(−5)]. Please show all of your work for full credit.

Answer 1

lets start with the inside function
g(x)

Answer 2

\[g(-5)=?\]

Answer 3

10

Answer 4

f(10) = ?

Answer 5

40^2= 1600

Answer 6

pemdas

exponent first as there is no parentheses

Answer 7

4*(10^2) is what it would look like

Answer 8

4*(100)

Answer 9

yes

Answer 10

Choose the best description of how to calculate f[g(3)] if f(x) = 3x − 2 and g(x) = x2 − 1

Answer 11

start with the inner function by computing g(3) then the result
f(result)=3(result)-2

Answer 12

s(2)-1 + 5

Answer 13

=5

Answer 14

Choose the correct procedure for calculating (f + g)(3) if f(x) = 3x − 2 and g(x) = x2 − 1.

Answer 15

\[(f+g)(3)=f(3)+g(3)\]

Answer 16

Consider the functions f(x) = 13x2 and g(x) = 7x − 5. What is the value of (f − g)(3)?

117

101

16

−101