F(x) = 2|x| + 3x
f(1) = 2|1| + 3(1)
f(1) = 2 + 3
f(1) = 5
Step-by-step explanation:
The parent function of the functions of the form f(x)=√x−a+b is f(x)=√x . Note that the domain of f(x)=√x is x≥0 and the range is y≥0 . The graph of f(x)=√x−a+b can be obtained by translating the graph of f(x)=√x to a units to the right and then b units up.
I hope it's helpful!
Answer
y = 0.2x − 7
Step-by-step explanation:
Find the slope first by subtracting (10, -5) and (5, -6) in slope formula, this will equal 1/5 or 0.2
Then find the y-intercept which is the point that crosses the y-axis, in this case -7 is the y-intercept
Finally format in y=mx + b for slope-intercept form
y=0.2x-7
Hi there!
![\large\boxed{f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%5E%7B-1%7D%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B4%7D%7B9%7D%20%7D%20%7D)
Find the inverse by replacing f(x) with y and swapping the x and y variables:
Isolate y by adding 4 to both sides:
Divide both sides by 9:
Take the cube root of both sides:
![y = \sqrt[3]{\frac{x+4}{9} }\\\\f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} }](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B4%7D%7B9%7D%20%7D%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B4%7D%7B9%7D%20%7D)
129 is 249 degrees warmer than -120 because -120+120=0 and then you add 129 to 0 which is 129. that means you add 120 and 129 to get 249
