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1.let f(x)= 3x+3/x+1. Find the domain of f

2.let q(x)=2/sqrt(x). Find the domain of q

3.let g(x)=3(x-6)^2+1. Find the range of g

4.let f(a,b)= 2a-3b^2+7. If f(k,3)=90, then what is k?

5.Define the operation $\heartsuit$ so that, a$\heartsuit$b=a+b/2

Find the value of (5$\heartsuit$7)$\heartsuit$11-5$\heartsuit$(7$\heartsuit$11)

 Feb 21, 2022
 #1
avatar+17 
+1

Here is the full \(\LaTeX\) according to the order of operations:

1. Let \(f(x)= 3x+\frac{3}{x}+1\). Find the domain of \(f\)

2. Let \(q(x)=\frac{2}{\sqrt{x}}\). Find the domain of \(q\)

3.Let \(g(x)=3(x-6)^2+1\). Find the range of \(g\)

4.let \(f(a,b)= 2a-3b^2+7\). If \(f(k,3)=90\), then what is k?

5.Define the operation\( \heartsuit\) so that, \(a \heartsuit b=a+b/2\)

Find the value of \((5 \heartsuit 7) \heartsuit 11-5 \heartsuit (7 \heartsuit 11)\)

 Feb 21, 2022
 #2
avatar+117857 
+1

We are not here to do all your homework for you. 

 Feb 21, 2022

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