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Step-by-step explanation:
-g(-2) is 10
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = 3x - 4. Find g(-2).
⇒ g(-2) = 3 × -2 - 4 = -6 - 4 = -10
Step 2:
Find -g(-2)
⇒ -g(-2) = -(-10) = 10
Answer:
Option D.
Step-by-step explanation:
To find the inversion of a function follow the following procedure
1) Replace x with y in the function and clear y
------> 
2) Check. The range of f(x) is the domain of 
.
So if f(a) = b, this means that 
= a.
Is fulfilled. Therefore 
is the inverse of 
Answer:
Step-by-step explanation:
To use the quadratic formula, we must write the quadratic in standard form, viz:
2x^2 - 4x + 7 = 0
Start by calculating the discriminant. That's b^2 - 4(a)(c). Here,
a = 2, b = -4 and c = 7, and so the discriminant for this particular problem is
(-4)^2 - 4(2)(7), or 16 - 56, or 40.
Recall that a positive discriminant indicates two real, unequal roots.
Now we write out the whole quadratic formula, with the appropriate constants inserted (see above):
-(-4) ± √40 4 ± (√4)(√10) 4 ± 2√10
x = --------------------- = ---------------------- = ---------------
2(2) 4 4
2 ± √10
which reduces to x = --------------
2
