Level:
Project ID:
2000010601
Accepted:
0
Clonable:
0
Easy:
0
The graph of the function \(f(x)=a^x+b~\) ( \(a>0\), \(a\neq1\) ) has been moved \(4\) units to the right and two units down. The shifted graph intersects the \(x\)-axis at the point \([4;0]\) and passes through the point \([8;3]\). Find \(a\) and \(b\) and solve the inequality \(f(x)\leq 5\).
\( a=\sqrt{2}\), \(b=1\), \( x \in ( -\infty;4]\)
\( a=\sqrt[4]{3}\), \(b=2\), \( x \in ( -\infty;4]\)
\( a=\sqrt{2}\), \(b=-4\), \( x \in ( -\infty;9]\)