MATH SOLVE

4 months ago

Q:
# Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5). A. 104 B. −246 C. 146 D. 250

Accepted Solution

A:

Answer:Option A is correctThe value of (h ∘ g)(−5) is, 104Step-by-step explanation:Given the functions: g(x) = 2x[tex]h(x) = x^2 + 4[/tex]We have to find (h ∘ g)(−5).[tex](h o g)(-5) = h(g(-5))[/tex] ....[1]At x = -5g(-5) = 2(-5) = -10thenSubstitute the g(-5) in [1] we have;[tex](h o g)(-5) = h(-10)[/tex]⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]⇒[tex](h o g)(-5) = 104[/tex]therefore, the value of (h ∘ g)(−5) is, 104