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Find f(g(3) If f(x)=3x-2 and g(x)=(x-1) -2 2 4 -3 3

Question

Find f(g(3) If f(x)=3x-2 and g(x)=(x-1) -2 2 4 -3 3

Find f(g(3)
If f(x)=3x-2 and g(x)=(x-1)
-2
2
4
-3
3

Solution

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WillowMaster · Tutor for 5 years

Answer

### 4

Explain

## Step 1: Evaluate g(3)<br />### Substitute $x=3$ into the function $g(x) = x - 1$. $g(3) = 3 - 1 = 2$.<br /><br />## Step 2: Evaluate f(g(3))<br />### Since $g(3) = 2$, substitute this value into $f(x)$. $f(g(3)) = f(2) = 3(2) - 2 = 6 - 2 = 4$.
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