Given h(x) = 2x + 4 and f(x) = 1/2x + 3, Evaluate the composite function f[h(x)]

Tobias Ali 2021-01-08 Answered
Given h(x)=2x+4 and f(x)=12x+3,
Evaluate the composite function f[h(x)]
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saiyansruleA
Answered 2021-01-09 Author has 110 answers
To evaluate the composite function f(h(x)), Substitute 2x+4 in the place of h(x)
h(x)=2x+4
f(x)=12x+3
f[h(x)]=f(2x+4)
Now replace all x by 2x+4 in f(x)
h(x)=2x+4
f(x)=12x+3
f[h(x)]=f(2x+4)
F[(2x+4)]=12(2x+4)+3=14x+8+3
Answer: f[h(x)]=14x+8+3
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