Hello there!
Your question asks what the value of h(g(1.5)) is.
Answer: 12
To find the answer to your question, we're going to need to solve g(x) first, then plug in the answer from g(x) to h(x).
Lets solve:
We're going to plug in 1.5 to our "x" variables in the g(x) equation.
Your equation should look like this:
[tex]g(x)=8-3(1.5)[/tex]
Now, you solve:
[tex]g(x)=8-3(1.5)\\\\g(x)=8-4.5\\\\g(x)=3.5[/tex]
You should get 3.5
Once you're done solving g(x), we would plug in the answer we got from the G(x) equation into our h(x) equation.
Your equation should look like this:
[tex]h(x)=2(3.5) + 5[/tex]
Then, you solve:
[tex]h(x)=2(3.5) + 5\\\\h(x)=7+5\\\\h(x)=12[/tex]
Once you're done solving, you should get 12
This means that the value of h(g(1.5)) is 12.
12 should be your FINAL answer.
I hope this helps!
Best regards, MasterInvestor
