Question

if f(x)=2x+8 and g(x)=x^4, what is (gof)(-3)

Answer 1

the o being the little circle thing

Answer 2

\(g \circ f (x) = g(f(x)) \)

Answer 3

\(g(2x + 8) \Longrightarrow (2x + 8)^4\)

Answer 4

\(g(f(-3))\)

Answer 5

first find f(-3)

\[f(-3) = 2(-3) + 8 \implies -6 + 8 \implies 2\]
now find g(2) \[g(f(-3)) = g(2) = (2)^4 \implies 2 \times 2\times 2 \times 2 \implies 16\]

Answer 6

That'd look like \(g(f(x)) = (2x + 8)^4 \Longrightarrow (2(-3) + 8)^4\)

Answer 7

thanks for the quick reply parth! Good answer lg

Answer 8

That's right. It's an answer.