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.
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i need help plzz
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
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the only thing that differs between them is the y-intercept
so its C
WAIT NVM. its A
here just to confirm your answer is correct to you look at their graphs
oo ok. can u help me with one more problem
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
First write out the equation,
then to find the inverse set y to x and x to y then solve for y
y = x - 2/3
now replace y with x and x with y and solve for y and you have the inverse of that function
wait so its B
If you had
y = x + 2
to find the inverse
x = y + 2
solve for y
y = x - 2