i feel horrible asking this much questions but i already took this test so many times and keep getting an D- and this is the last time i can take it.. can anyone help me with these 12 questions? these are the only ones i keep getting wrong.
i really need a c to pass
Thanks so much
1.If f(x) =√3x+3 , what is the equation for f^–1(x)?
2.If the parent function is √x, describe the translation of the function √x+7
3.Rewrite y = √9x+45 +2 to make it easy to graph using a translation. Describe the graph.
4.The graph of y=^3√x is shifted 1 unit down and 4 units left. Which equation represents the new graph?
5.Let f(x) = -4x + 7 and g(x) = 2x - 6. Find (G o F)(1)
6.If f(x) = 2x – 7, what is the equation for f–1(x)?
7.If f(x)=1/2x-6 , what is the equation for f–1(x)?
8.If the parent function is 3^√x , describe the translation of the function y =3^√x-4 + 3
9.Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
10.et f(x) = 4x - 7 and g(x) = 2x - 3. Find (F o G)(4)
11.Let f(x) = 4x + 7 and g(x) = 3x - 5. Find (G o F)(-4)
12. Let f(x) = 4x + 3 and g(x) = -2x + 5. Find (F o G)(5)
I'll do a couple
1.If f(x) =√3x+3 , what is the equation for f^–1(x)?
Let
\(Let\;\;y=f(x)\\ y=\sqrt3x+3\\ y-3=\sqrt3x\\ \frac{y-3}{\sqrt3}=x\\ x=\frac{\sqrt3(y-3)}{3}\\~\\ f^{-1}(x)=\frac{\sqrt3(x-3)}{3}\\~\\ \)
2.If the parent function is √x, describe the translation of the function √x+7
This is a translation 7 units up
3.Rewrite y = √9x+45 +2 to make it easy to graph using a translation. Describe the graph.
y = √9x+45 +2
y = 3x+47
The parent graph could be y=3x gradient is 3 moved up so the y intercept is 47