Question

Does, this make any sense to anyone? I honestly don't understand it. I'm learning functions by the way.

Answer 1

Answer:     t = 7

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Explanation:

If we replace every copy of x with t, then we go from this

F(x) = 3x+5

to this

F(t) = 3t + 5

All we've done really is change the letter. We still are dealing with a variable. We're told that F(t) is equal to 26, which would allow us to replace the "F(t)" with "26" in the second equation above.

So we now have the equation 26 = 3t+5 which is the same as 3t+5 = 26

Let's solve for t

3t+5 = 26

3t = 26-5 .... subtract 5 from both sides

3t = 21

t = 21/3 .... divide both sides by 3

t = 7  is the answer

Now note that...

F(t) = 3t + 5

F(7) = 3*7 + 5 .... replace t with 7

F(7) = 21 + 5

F(7) = 26

This means we got F(t) = 26 when t = 7

It's the same as saying x = 7 leads to F(x) = 26.

This helps confirm we have the correct answer.

Answer 2

Answer:

t = 7

Step-by-step explanation:

I hope this helps