Question

Find (g ∘ f)(10) when f(x) = and g(x) = 2x + 3.

A.9

B.15

C.69

D.22/3

Answer 1

See Below

Explanation:

The equation of f(x) isn't given so I will assume one equation for f(x) and solve the problem to show the process. The answer choices won't hold.

New Problem:

Find (g ∘ f)(10) when f(x) = 3x - 1 and g(x) = 2x + 3

Solution:

The notation (g ∘ f)(10) means take the function "f" and put it into "g" and then evaluate that expression with "10". First, lets find (g ∘ f)(x).

f(x) = 3x - 1

g(x) = 2x + 3

(g ∘ f)(x) = 2(3x - 1) + 3

= 6x - 2 + 3

= 6x + 1

So,

(g ∘ f)(x) = 6x + 1

Now,

(g ∘ f)(10) = 6(10) + 1 = 61

This would be the answer.