Effective usage of underlying NullableT argument

public static class TypesHelper {
    public static bool IsNullable(this Type type) {
        Type underlyingType;
        return IsNullable(type, out underlyingType);
    }
    public static bool IsNullable(this Type type, out Type underlyingType) {
        underlyingType = Nullable.GetUnderlyingType(type);
        return underlyingType != null;
    }
    public static Type GetNullable(Type type) {
        Type underlyingType;
        return IsNullable(type, out underlyingType) ? type : NullableTypesCache.Get(type);
    }
    public static bool IsExactOrNullable(this Type type, Func<Type, bool> predicate) {
        Type underlyingType;
        if(IsNullable(type, out underlyingType))
            return IsExactOrNullable(underlyingType, predicate);
        return predicate(type);
    }
    public static bool IsExactOrNullable<T>(this Type type)
        where T : struct {
        return IsExactOrNullable(type, t => Equals(t, typeof(T)));
    }
}

Type type = typeof(int).GetNullable();
Console.WriteLine(type.ToString());

if(type.IsNullable())
    Console.WriteLine("Type is nullable.");
Type underlyingType;
if(type.IsNullable(out underlyingType))
    Console.WriteLine("The underlying type is " + underlyingType.Name + ".");
if(type.IsExactOrNullable<int>())
    Console.WriteLine("Type is either exact or nullable Int32.");
if(!type.IsExactOrNullable(t => t.IsEnum))
    Console.WriteLine("Type is neither exact nor nullable enum.");

static class NullableTypesCache {
    readonly static ConcurrentDictionary<Type, Type> cache = new ConcurrentDictionary<Type, Type>();
    static NullableTypesCache() {
        cache.TryAdd(typeof(byte), typeof(Nullable<byte>));
        cache.TryAdd(typeof(short), typeof(Nullable<short>));
        cache.TryAdd(typeof(int), typeof(Nullable<int>));
        cache.TryAdd(typeof(long), typeof(Nullable<long>));
        cache.TryAdd(typeof(float), typeof(Nullable<float>));
        cache.TryAdd(typeof(double), typeof(Nullable<double>));
        cache.TryAdd(typeof(decimal), typeof(Nullable<decimal>));
        cache.TryAdd(typeof(sbyte), typeof(Nullable<sbyte>));
        cache.TryAdd(typeof(ushort), typeof(Nullable<ushort>));
        cache.TryAdd(typeof(uint), typeof(Nullable<uint>));
        cache.TryAdd(typeof(ulong), typeof(Nullable<ulong>));
        //... 
    }
    readonly static Type NullableBase = typeof(Nullable<>);
    internal static Type Get(Type type) {
        // Try to avoid the expensive MakeGenericType method call
        return cache.GetOrAdd(type, t => NullableBase.MakeGenericType(t)); 
    }
}