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denpristay [2]
3 years ago
15

Determine whether the function

Mathematics
1 answer:
makkiz [27]3 years ago
4 0
The right answer is even
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Help answer all please wrong answers will get reported
Maurinko [17]

If f^{-1}(x) is the inverse of f(x), then by definition of inverse functions,

\left(f\circ f^{-1}\right)(x) = f\left(f^{-1}(x)\right) = x

Given f(x) = 2x-8, the inverse, if its exists, satisfies the equation above. Evaluate f at the inverse, we have

f\left(f^{-1}(x)\right) = 2 f^{-1}(x) - 8 = x

Solve for the inverse:

2 f^{-1}(x) - 8 = x

2 f^{-1}(x) = x + 8

\boxed{f^{-1}(x) = \dfrac12 x + 4}

Given g(x) = \frac13 x + 5, we do the same thing as before to find its inverse.

g\left(g^{-1}(x)\right) = \dfrac13 g^{-1}(x) + 5 = x \implies \boxed{g^{-1}(x) = 3x - 15}

5 0
1 year ago
on a scale drawing, a tree is 6 3/4 inches tall. the scale factor is 1/20. find the height of the actual tree.
Hoochie [10]
I think the answer is 15
 
8 0
3 years ago
Read 2 more answers
Which choices are real numbers? Check all that apply.
Nonamiya [84]

Answer:

Step-by-step explanation:

Exponents with fractions in them are really just radical notation in a different form. You've probably seen the square root sign.

That can be written as 

x^(1/2)

...and when you take an even root of a negative number, there is no real answer. (2 is an even number).

Looking at the answer choices here, we can see that B and D use even roots, so they will give non-real answers.

So, A and C are the answer choices to select.

5 0
3 years ago
Read 2 more answers
Find (g o f)(-1). *
klio [65]

Answer:

D  -9

Step-by-step explanation:

(g o f)(-1) = g(f(-1))

f(-1) = f(-1)  =  (-1)^{2}  +  2(-1) - 3\\=  1 - 2 - 3\\=  -4

g(-4) = -4 - 5 = -9

So, (g o f)(-1) = -9

6 0
2 years ago
Which of the following is not a factor of 9 ?
faltersainse [42]

Answer:

2, 4, 5, 6, 7, 8

Step-by-step explanation:

6 0
2 years ago
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