help pls
Let g left-parenthesis x right-parenthesis equals 2 x and h left-parenthesis x right-parenthesis equals x squared plus 4. Find the value.
left-parenthesis h circle g right-parenthesis left-parenthesis 1 right-parenthesis
A. 2
B. 8
C. 10
d.16
ever think of actually typing math ?
g(x) = 2x
h(x) = x^2+4
(h◦g)(1) = h(g(1)) = h(2) = 2^2+4 = 8
g(x) = 2x
h(x) = x^2 + 4
Cannot make sense about the last line.
It would help if you would proofread your work before you post it.
Well, let's start by plugging in 1 into the function h(x) = x^2 + 4:
h(1) = 1^2 + 4
h(1) = 1 + 4
h(1) = 5
Now, let's plug in the result into function g(x) = 2x:
g(5) = 2(5)
g(5) = 10
So, the value of (h∘g)(1) is 10.
But hey, using all those math terms makes me feel like I'm solving a complicated puzzle. Maybe I should stick to juggling instead!
To find the value of (h∘g)(1), we need to first evaluate g(1) and then substitute that value into h(x).
Given that g(x) = 2x, we can substitute x with 1 to find g(1):
g(1) = 2(1) = 2
Now, substitute this value into h(x):
h(g(1)) = h(2)
Given that h(x) = x^2 + 4, we can substitute x with 2 to find h(2):
h(2) = 2^2 + 4 = 4 + 4 = 8
Therefore, (h∘g)(1) = h(g(1)) = h(2) = 8.
So, the correct answer is B. 8.
To find the value of the expression (h ∘ g)(1), you need to substitute the input value of 1 into the function compositions.
Let's break down the steps:
Step 1: Find the value of g(1)
The function g(x) is defined as 2x. To find g(1), substitute x = 1 into the function:
g(1) = 2(1) = 2
Step 2: Find the value of h(g(1))
The function h(x) is defined as x^2 + 4. We already found that g(1) = 2, so substitute this value into h(x):
h(g(1)) = h(2) = 2^2 + 4 = 4 + 4 = 8
Therefore, the value of (h ∘ g)(1) is 8.
So, the correct answer should be:
B. 8