Let f(x) be a function whose domain is `[-5, 7] and g(x) = |2x + 5|,` then the domain of fog(x) is (A) `[-5,1]` (B) `[-4,0]` (C) `[-6,1]` (D) none of theseA. `[-4,1]`B. `[-5,1]`C. `[-6,1]`D. `[-3,1]`

Let f(x) be a function whose domain is `[-5, 7] and g(x) = |2x + 5|,`

1.	Let f(x) be a function whose domain is `[-5, 7] and g(x) = \|2x + 5\|,` then the domain of fog(x) is (A) `[-5,1]` (B) `[-4,0]` (C) `[-6,1]` (D) none of theseA. `[-4,1]`B. `[-5,1]`C. `[-6,1]`D. `[-3,1]`
Answer» Correct Answer - C Domain of `f(g(x))` Range of `g(x)-=` Domain of `f(x)` `implies-5le\|2x+5\|le7` `implies0le\|2x+5\|le7` `implies-7le2x+5le7` `implies-12le2xle2` `implies-6lexle1`

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Let f(x) be a function whose domain is `[-5, 7] and g(x) = |2x + 5|,` then the domain of fog(x) is (A) `[-5,1]` (B) `[-4,0]` (C) `[-6,1]` (D) none of theseA. `[-4,1]`B. `[-5,1]`C. `[-6,1]`D. `[-3,1]`

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