Given f(x) = 4x^(2)-3 and g(x) = 6 - frac(1)(2)x^2 c. (f of f)(1)

Marvin Mccormick

Marvin Mccormick

Answered question

2021-09-07

Given f(x)=4x23andg(x)=612x2
c. (f of f)(1)

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-09-08Added 88 answers

Obtain the composite function (f of f)(x).
The given two functions are f(x)=4x23andg(x)=612x2.
The composite function (f of f)(x) is obtained as 64x496x2+33 from the calculation given below:
(ff)(x)=f(f(x))
=f(4x23)
=4(4x23)23
=4×(16x4+924x2)3
=64x4+3696x23
=64x496x2+33
Obtain the value of (f of f)(1).
The composite function (f of f)(x) is obtained as 64x496x2+33.
To obtain the value of (f o f)(1), substitute 1 in place of x in the composite function (f of f)(x) = 64x496x2+33.
The value of (f o f)(1) is obtained as 1 from the calculation given below:
(ff)(x)=64x496x2+33
(ff)(1)=64(1)496(1)2+33
=1

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