Question

Given: f(x) = x - 7 and h(x) = 2x + 3

Write the rule for f(h(x)).


f(h(x)) = 2x - 7
f(h(x)) = 2x - 4

f(h(x)) = 3x - 4

f(h(x)) = 3x - 7

Answer 1

I need help

Answer 2

f(h(x)) = 2x - 4

Answer 3

thank you

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @JosephGunnels
thank you
\(\color{#0cbb34}{\text{End of Quote}}\)
Np and
How I got it
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4

Answer 5

ok

Answer 6

Ok, so the functions that were given were \[f(x)=x+7\] \[h(x)=2x+3\]

The question is asking us to find the value of \[f(h(x))\]

\[f(h(x))=f(2x+3)\] \[f(x)=x-7\]

Substitute x=(2x+3) in function f(x)....

\[f(2x+3)=(2x+3)-7\]
\[f(2x+3)=2x+3=7\]
\[f(2x+3)=2x-4\]
so now we must substitute the value of f(2x+3) in equation (1).
\[f(h(x))=2x-4\]