Question

For the functions f(x) = 5x − 3 and g(x) = x + 4, which composition produces the greatest output?

f(g(x)) produces the greatest output.
g(f(x)) produces the greatest output.<-----my ANSWER
Both compositions produce the same output.
Neither composition produces an output.

Answer 1

i need help plzz

Answer 2

These are linear equations, remember y = mx + b

g(f(x)) = (5x − 3) + 4 = 5x +1
f((g(x)) = 5(x + 4) − 3 = 5x + 17

Answer 3

They both have the same slope

Answer 4

the only thing that differs between them is the y-intercept

Answer 5

so its C

Answer 6

WAIT NVM. its A

Answer 7

yup

http://www.wolframalpha.com/input/?i=y+%3D+5x+%2B1%2C+y+%3D+5x+%2B+17+

here just to confirm your answer is correct to you look at their graphs

Answer 8

oo ok. can u help me with one more problem

Answer 9

Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3?

y = 3x + 2
y = 2x + 3
y equals quantity x minus 3 divided by 2
y equals quantity x plus 2 divided by 3

Answer 10

First write out the equation,

then to find the inverse set y to x and x to y then solve for y

Answer 11

x-2/3

Answer 12

well,

y = x - 2/3

Answer 13

now replace y with x and x with y and solve for y and you have the inverse of that function

Answer 14

im confused

Answer 15

wait so its B

Answer 16

If you had

y = x + 2

to find the inverse

x = y + 2

solve for y

y = x - 2

Answer 17

Y=3X+2

Answer 18

THXXX ALOT