Given
h(x)= 2x + 2 and f(x)=1/2 x + 4, evaluate the composite function.
h[f(x)]
Do it the same way I just showed you in the post above this
To evaluate the composite function h[f(x)], we need to substitute the expression for f(x) into the function h(x) and simplify.
Given that h(x) = 2x + 2 and f(x) = (1/2)x + 4, we substitute f(x) into h(x) as follows:
h[f(x)] = 2[f(x)] + 2
Now, substitute the expression for f(x) into h(x):
h[f(x)] = 2[(1/2)x + 4] + 2
Next, apply the distributive property to simplify the expression:
h[f(x)] = (2/2)x + 8 + 2
Simplify further:
h[f(x)] = x + 10
Therefore, the composite function h[f(x)] simplifies to x + 10.