Answer:
2^(x-1) -5x +12
Step-by-step explanation:
f(x) = 2^(x-1) + 3
g(x) = 5x - 9
(f-g) (x) = 2^(x-1) + 3 - ( 5x-9)
Distribute the minus sign
2^(x-1) + 3 - 5x+9
Combine like terms
2^(x-1) -5x +12
Answer:
1 = 120
2 = 120
Step-by-step explanation:
<h2>Writing the Inverse of a Function</h2><h3>
Answer:</h3>
![f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my Answer from this Questions to know more about Inverse Functions: <u>brainly.com/question/24619467</u></em>
Let
so that the inverse of
is equal to
.
Solving for
:
![f(x) = 3x^3 -5 \\ y = 3x^3 -5 \\ x = 3y^3 -5 \\ 3y^3 -5 = x \\ 3y^3 = x +5 \\ y^3 = \frac{x +5}{3} \\ y = \sqrt[3]{\frac{x +5}{3}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x%5E3%20-5%20%5C%5C%20y%20%3D%203x%5E3%20-5%20%5C%5C%20x%20%3D%203y%5E3%20-5%20%5C%5C%203y%5E3%20-5%20%3D%20x%20%5C%5C%203y%5E3%20%3D%20x%20%2B5%20%5C%5C%20y%5E3%20%3D%20%5Cfrac%7Bx%20%2B5%7D%7B3%7D%20%5C%5C%20y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D)
Since the inverse of
is equal to
,
.