The graph of the function y=f(x-a)+b (a>0, b>0) is obtained from the graph of the function y=f(x) by translating right a units and up b units.
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down).
Answer: correct choice is A.
Answer: The value of g(x) is x+3.
Step-by-step explanation:
Since we have given that
![h(x)=f\circ g(x)](https://tex.z-dn.net/?f=h%28x%29%3Df%5Ccirc%20g%28x%29)
Here,
![h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%7Bx%2B5%7D%5C%5C%5C%5Cand%5C%5C%5C%5Cf%28x%29%3D%5Csqrt%7Bx%2B2%7D)
We need to find the value of g(x):
![f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%2B2%7D%5C%5C%5C%5Cf%28g%28x%29%29%3D%5Csqrt%7Bg%28x%29%2B2%7D%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%7Bg%28x%29%2B2%7D%5C%5C%5C%5C%5Csqrt%7Bx%2B5%7D%3D%5Csqrt%7Bg%28x%29%2B2%7D%5C%5C%5C%5Cx%2B5%3Dg%28x%29%2B2%5C%5C%5C%5Cg%28x%29%3Dx%2B5-2%3Dx%2B3)
Hence, the value of g(x) is x+3.
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
Answer:
nuber 1
Simplifying
3x + 2y = 35
Solving
3x + 2y = 35
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3x + 2y + -2y = 35 + -2y
Combine like terms: 2y + -2y = 0
3x + 0 = 35 + -2y
3x = 35 + -2y
Divide each side by '3'.
x = 11.66666667 + -0.6666666667y
Simplifying
x = 11.66666667 + -0.6666666667y