Given-function-f-x-2x-2-1-x-lt-3-5x-1-x-3-Find-out-f-x-2-7-A-5x-2-34-B-2x-2-8-C-5x-2-36-D-5x-2-34-E-2-x-2-7-2-1-Please-help-

Question Number 116776 by abony1303 last updated on 06/Oct/20

Given function :

f (x) = {\begin{cases} 2 x^{2} + 1, ∣ x ∣< 3 \\ 5 x - 1, ∣ x ∣⩾ 3 \end{cases}

Find out : f (x^{2} + 7) = ?

A) {5 x}^{2} - 34 B) {2 x}^{2} + 8 C) {5 x}^{2} + 36

D) {5 x}^{2} + 34 E) 2 {(x^{2} + 7)}^{2} + 1

Please help

Answered by floor(10²Eta[1]) last updated on 06/Oct/20

∣ x^{2} + 7 ∣⩾ 7 > 3 \Rightarrow f (x^{2} + 7) = 5 (x^{2} + 7) - 1

= {5 x}^{2} + 34