<h3>
Answer: g(f(x)) = 4x^2 - 4x - 3</h3>
Work Shown:
g(x) = x^2 - 4
g(f(x)) = ( f(x) )^2 - 4
g(f(x)) = ( 2x-1 )^2 - 4
g(f(x)) = (2x-1)(2x-1) - 4
g(f(x)) = 4x^2-2x-2x+1 - 4
g(f(x)) = 4x^2 - 4x - 3
To factor <span>54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.
54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81
9 is the gcf, so factor it out.
</span><span>54x+81 = <u>9</u>(6x + 9)</span><span>
</span>
Answer:
Step-by-step explanation:
Plug the information into the Slope-Intercept Formula:
Suppose you need to write this equation in standard form. You would follow these procedures:
y = 3x - 19
- 3x - 3x
__________
*Now, you <em>can</em> leave the standard equation like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.
I am joyous to assist you at any time.
(f+g)(5)=33 is the answer
Answer:
B
Step-by-step explanation:
Recall that functions are defined only if for each value in the domain produces one and only one value in the range.
If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value
Lets evaluate the options:
A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)
D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
the only choice where this doesn't occur is choice B