Question

What is the answer to number one? I got (4)11

Answer 1

There appears to be a mistake in the problem. In cases like this, I like to suggest you ask your teacher to show the class how to work this problem. Let's follow it through.

Given

f(x) = 3x+4 . . . . . as shown in a table

g(x) = 2f(x) +3

Find

g(4)

Solution

`g(x)=2f(x)+3\\g(4)=2f(4)+3\\g(4)=2\cdot 16+3\qquad\text{the table shows f(4)=16}\\g(4)=32+3\\\\g(4)=35`

Alternatively, we can use the formula we created for f(x).

`g(x)=2f(x)+3\\g(x)=2(3x+4)+3\\g(x)=6x+8+3\\g(x)=6x+11\\g(4)=6\cdot 4+11=24+11\\\\g(4)=35`

Either way, g(4) = 35.